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Finding the Fourth Proportional to 1,002.47, 1,500.97 and 677.19

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Solution

The fourth proportional to 1,002.47, 1,500.97 and 677.19 is: 1,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.47 : 1,500.97 = 677.19 : x
  2. Step 2: Convert to fraction form
    1,002.47/1,500.97 = 677.19/x
  3. Step 3: Cross multiply
    1,002.47x = 1,500.97 × 677.19
  4. Step 4: Simplify right side
    1,002.47x = 1,016,441.87
  5. Step 5: Solve for x
    x = 1,016,441.87/1,002.47
  6. Step 6: Final answer
    x = 1,013.94

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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.