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Finding the Fourth Proportional to 1,314.28, 1,813.82 and 724.93

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Solution

The fourth proportional to 1,314.28, 1,813.82 and 724.93 is: 1,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.28 : 1,813.82 = 724.93 : x
  2. Step 2: Convert to fraction form
    1,314.28/1,813.82 = 724.93/x
  3. Step 3: Cross multiply
    1,314.28x = 1,813.82 × 724.93
  4. Step 4: Simplify right side
    1,314.28x = 1,314,892.53
  5. Step 5: Solve for x
    x = 1,314,892.53/1,314.28
  6. Step 6: Final answer
    x = 1,000.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.