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Finding the Fourth Proportional to 1,242.03, 1,863.03 and 511.20

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Solution

The fourth proportional to 1,242.03, 1,863.03 and 511.20 is: 766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.03 : 1,863.03 = 511.20 : x
  2. Step 2: Convert to fraction form
    1,242.03/1,863.03 = 511.20/x
  3. Step 3: Cross multiply
    1,242.03x = 1,863.03 × 511.20
  4. Step 4: Simplify right side
    1,242.03x = 952,380.94
  5. Step 5: Solve for x
    x = 952,380.94/1,242.03
  6. Step 6: Final answer
    x = 766.79

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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.