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Finding the Fourth Proportional to 728.22, 1,004.40 and 462.75

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Solution

The fourth proportional to 728.22, 1,004.40 and 462.75 is: 638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.22 : 1,004.40 = 462.75 : x
  2. Step 2: Convert to fraction form
    728.22/1,004.40 = 462.75/x
  3. Step 3: Cross multiply
    728.22x = 1,004.40 × 462.75
  4. Step 4: Simplify right side
    728.22x = 464,781.08
  5. Step 5: Solve for x
    x = 464,781.08/728.22
  6. Step 6: Final answer
    x = 638.25

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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.