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Finding the Fourth Proportional to 1,242.44, 1,864.02 and 625.40

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Solution

The fourth proportional to 1,242.44, 1,864.02 and 625.40 is: 938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.44 : 1,864.02 = 625.40 : x
  2. Step 2: Convert to fraction form
    1,242.44/1,864.02 = 625.40/x
  3. Step 3: Cross multiply
    1,242.44x = 1,864.02 × 625.40
  4. Step 4: Simplify right side
    1,242.44x = 1,165,758.11
  5. Step 5: Solve for x
    x = 1,165,758.11/1,242.44
  6. Step 6: Final answer
    x = 938.28

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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.