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Finding the Fourth Proportional to 1,013.71, 1,522.38 and 667.75

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Solution

The fourth proportional to 1,013.71, 1,522.38 and 667.75 is: 1,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.71 : 1,522.38 = 667.75 : x
  2. Step 2: Convert to fraction form
    1,013.71/1,522.38 = 667.75/x
  3. Step 3: Cross multiply
    1,013.71x = 1,522.38 × 667.75
  4. Step 4: Simplify right side
    1,013.71x = 1,016,569.25
  5. Step 5: Solve for x
    x = 1,016,569.25/1,013.71
  6. Step 6: Final answer
    x = 1,002.82

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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.