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Finding the Fourth Proportional to 782.53, 1,174.19 and 475.15

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Solution

The fourth proportional to 782.53, 1,174.19 and 475.15 is: 712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.53 : 1,174.19 = 475.15 : x
  2. Step 2: Convert to fraction form
    782.53/1,174.19 = 475.15/x
  3. Step 3: Cross multiply
    782.53x = 1,174.19 × 475.15
  4. Step 4: Simplify right side
    782.53x = 557,916.38
  5. Step 5: Solve for x
    x = 557,916.38/782.53
  6. Step 6: Final answer
    x = 712.96

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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.