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Finding the Fourth Proportional to 1,257.18, 1,882.52 and 868.38

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Solution

The fourth proportional to 1,257.18, 1,882.52 and 868.38 is: 1,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.18 : 1,882.52 = 868.38 : x
  2. Step 2: Convert to fraction form
    1,257.18/1,882.52 = 868.38/x
  3. Step 3: Cross multiply
    1,257.18x = 1,882.52 × 868.38
  4. Step 4: Simplify right side
    1,257.18x = 1,634,742.72
  5. Step 5: Solve for x
    x = 1,634,742.72/1,257.18
  6. Step 6: Final answer
    x = 1,300.33

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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.