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Finding the Fourth Proportional to 1,414.16, 1,951.72 and 862.48

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Solution

The fourth proportional to 1,414.16, 1,951.72 and 862.48 is: 1,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.16 : 1,951.72 = 862.48 : x
  2. Step 2: Convert to fraction form
    1,414.16/1,951.72 = 862.48/x
  3. Step 3: Cross multiply
    1,414.16x = 1,951.72 × 862.48
  4. Step 4: Simplify right side
    1,414.16x = 1,683,319.47
  5. Step 5: Solve for x
    x = 1,683,319.47/1,414.16
  6. Step 6: Final answer
    x = 1,190.33

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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.