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Finding the Fourth Proportional to 1,247.57, 1,872.19 and 517.15

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Solution

The fourth proportional to 1,247.57, 1,872.19 and 517.15 is: 776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.57 : 1,872.19 = 517.15 : x
  2. Step 2: Convert to fraction form
    1,247.57/1,872.19 = 517.15/x
  3. Step 3: Cross multiply
    1,247.57x = 1,872.19 × 517.15
  4. Step 4: Simplify right side
    1,247.57x = 968,193.70
  5. Step 5: Solve for x
    x = 968,193.70/1,247.57
  6. Step 6: Final answer
    x = 776.07

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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.