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Finding the Fourth Proportional to 1,002.78, 1,503.02 and 502.20

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Solution

The fourth proportional to 1,002.78, 1,503.02 and 502.20 is: 752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.78 : 1,503.02 = 502.20 : x
  2. Step 2: Convert to fraction form
    1,002.78/1,503.02 = 502.20/x
  3. Step 3: Cross multiply
    1,002.78x = 1,503.02 × 502.20
  4. Step 4: Simplify right side
    1,002.78x = 754,816.64
  5. Step 5: Solve for x
    x = 754,816.64/1,002.78
  6. Step 6: Final answer
    x = 752.72

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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.