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Finding the Fourth Proportional to 728.97, 1,005.91 and 414.27

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Solution

The fourth proportional to 728.97, 1,005.91 and 414.27 is: 571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.97 : 1,005.91 = 414.27 : x
  2. Step 2: Convert to fraction form
    728.97/1,005.91 = 414.27/x
  3. Step 3: Cross multiply
    728.97x = 1,005.91 × 414.27
  4. Step 4: Simplify right side
    728.97x = 416,718.34
  5. Step 5: Solve for x
    x = 416,718.34/728.97
  6. Step 6: Final answer
    x = 571.65

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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.