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Finding the Fourth Proportional to 728.34, 1,004.91 and 462.93

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Solution

The fourth proportional to 728.34, 1,004.91 and 462.93 is: 638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.34 : 1,004.91 = 462.93 : x
  2. Step 2: Convert to fraction form
    728.34/1,004.91 = 462.93/x
  3. Step 3: Cross multiply
    728.34x = 1,004.91 × 462.93
  4. Step 4: Simplify right side
    728.34x = 465,202.99
  5. Step 5: Solve for x
    x = 465,202.99/728.34
  6. Step 6: Final answer
    x = 638.72

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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.