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Finding the Fourth Proportional to 747.89, 1,032.04 and 468.20

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Solution

The fourth proportional to 747.89, 1,032.04 and 468.20 is: 646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.89 : 1,032.04 = 468.20 : x
  2. Step 2: Convert to fraction form
    747.89/1,032.04 = 468.20/x
  3. Step 3: Cross multiply
    747.89x = 1,032.04 × 468.20
  4. Step 4: Simplify right side
    747.89x = 483,201.13
  5. Step 5: Solve for x
    x = 483,201.13/747.89
  6. Step 6: Final answer
    x = 646.09

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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.