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Finding the Fourth Proportional to 1,583.68, 2,185.48 and 885.06

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Solution

The fourth proportional to 1,583.68, 2,185.48 and 885.06 is: 1,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.68 : 2,185.48 = 885.06 : x
  2. Step 2: Convert to fraction form
    1,583.68/2,185.48 = 885.06/x
  3. Step 3: Cross multiply
    1,583.68x = 2,185.48 × 885.06
  4. Step 4: Simplify right side
    1,583.68x = 1,934,280.93
  5. Step 5: Solve for x
    x = 1,934,280.93/1,583.68
  6. Step 6: Final answer
    x = 1,221.38

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Half scale
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Double scale
Find fourth proportional to 1,584.68, 2,186.86 and 886.06
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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.