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Finding the Fourth Proportional to 1,242.18, 1,863.38 and 462.15

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Solution

The fourth proportional to 1,242.18, 1,863.38 and 462.15 is: 693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.18 : 1,863.38 = 462.15 : x
  2. Step 2: Convert to fraction form
    1,242.18/1,863.38 = 462.15/x
  3. Step 3: Cross multiply
    1,242.18x = 1,863.38 × 462.15
  4. Step 4: Simplify right side
    1,242.18x = 861,162.22
  5. Step 5: Solve for x
    x = 861,162.22/1,242.18
  6. Step 6: Final answer
    x = 693.27

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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.