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Finding the Fourth Proportional to 1,242.32, 1,863.12 and 625.60

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Solution

The fourth proportional to 1,242.32, 1,863.12 and 625.60 is: 938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.32 : 1,863.12 = 625.60 : x
  2. Step 2: Convert to fraction form
    1,242.32/1,863.12 = 625.60/x
  3. Step 3: Cross multiply
    1,242.32x = 1,863.12 × 625.60
  4. Step 4: Simplify right side
    1,242.32x = 1,165,558.56
  5. Step 5: Solve for x
    x = 1,165,558.56/1,242.32
  6. Step 6: Final answer
    x = 938.21

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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.