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Finding the Fourth Proportional to 782.52, 1,174.14 and 398.04

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Solution

The fourth proportional to 782.52, 1,174.14 and 398.04 is: 597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.52 : 1,174.14 = 398.04 : x
  2. Step 2: Convert to fraction form
    782.52/1,174.14 = 398.04/x
  3. Step 3: Cross multiply
    782.52x = 1,174.14 × 398.04
  4. Step 4: Simplify right side
    782.52x = 467,354.69
  5. Step 5: Solve for x
    x = 467,354.69/782.52
  6. Step 6: Final answer
    x = 597.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.