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Finding the Fourth Proportional to 782.52, 1,174.30 and 436.20

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Solution

The fourth proportional to 782.52, 1,174.30 and 436.20 is: 654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.52 : 1,174.30 = 436.20 : x
  2. Step 2: Convert to fraction form
    782.52/1,174.30 = 436.20/x
  3. Step 3: Cross multiply
    782.52x = 1,174.30 × 436.20
  4. Step 4: Simplify right side
    782.52x = 512,229.66
  5. Step 5: Solve for x
    x = 512,229.66/782.52
  6. Step 6: Final answer
    x = 654.59

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