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Finding the Fourth Proportional to 728.13, 1,004.40 and 462.09

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Solution

The fourth proportional to 728.13, 1,004.40 and 462.09 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.13 : 1,004.40 = 462.09 : x
  2. Step 2: Convert to fraction form
    728.13/1,004.40 = 462.09/x
  3. Step 3: Cross multiply
    728.13x = 1,004.40 × 462.09
  4. Step 4: Simplify right side
    728.13x = 464,123.20
  5. Step 5: Solve for x
    x = 464,123.20/728.13
  6. Step 6: Final answer
    x = 637.42

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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.