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Finding the Fourth Proportional to 1,428.27, 1,971.15 and 868.61

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Solution

The fourth proportional to 1,428.27, 1,971.15 and 868.61 is: 1,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.27 : 1,971.15 = 868.61 : x
  2. Step 2: Convert to fraction form
    1,428.27/1,971.15 = 868.61/x
  3. Step 3: Cross multiply
    1,428.27x = 1,971.15 × 868.61
  4. Step 4: Simplify right side
    1,428.27x = 1,712,160.60
  5. Step 5: Solve for x
    x = 1,712,160.60/1,428.27
  6. Step 6: Final answer
    x = 1,198.77

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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.