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Finding the Fourth Proportional to 1,583.52, 2,184.75 and 884.76

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Solution

The fourth proportional to 1,583.52, 2,184.75 and 884.76 is: 1,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.52 : 2,184.75 = 884.76 : x
  2. Step 2: Convert to fraction form
    1,583.52/2,184.75 = 884.76/x
  3. Step 3: Cross multiply
    1,583.52x = 2,184.75 × 884.76
  4. Step 4: Simplify right side
    1,583.52x = 1,932,979.41
  5. Step 5: Solve for x
    x = 1,932,979.41/1,583.52
  6. Step 6: Final answer
    x = 1,220.69

Related Problems

Find fourth proportional to 791.76, 1,092.38 and 442.38
Half scale
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Double scale
Find fourth proportional to 1,584.52, 2,186.13 and 885.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.