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Finding the Fourth Proportional to 1,150.49, 1,587.15 and 884.45

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Solution

The fourth proportional to 1,150.49, 1,587.15 and 884.45 is: 1,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.49 : 1,587.15 = 884.45 : x
  2. Step 2: Convert to fraction form
    1,150.49/1,587.15 = 884.45/x
  3. Step 3: Cross multiply
    1,150.49x = 1,587.15 × 884.45
  4. Step 4: Simplify right side
    1,150.49x = 1,403,746.88
  5. Step 5: Solve for x
    x = 1,403,746.88/1,150.49
  6. Step 6: Final answer
    x = 1,220.13

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Double scale
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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.