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Finding the Fourth Proportional to 1,151.33, 1,587.54 and 731.15

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Solution

The fourth proportional to 1,151.33, 1,587.54 and 731.15 is: 1,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.33 : 1,587.54 = 731.15 : x
  2. Step 2: Convert to fraction form
    1,151.33/1,587.54 = 731.15/x
  3. Step 3: Cross multiply
    1,151.33x = 1,587.54 × 731.15
  4. Step 4: Simplify right side
    1,151.33x = 1,160,721.93
  5. Step 5: Solve for x
    x = 1,160,721.93/1,151.33
  6. Step 6: Final answer
    x = 1,008.16

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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.