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Finding the Fourth Proportional to 1,002.54, 1,502.78 and 563.15

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Solution

The fourth proportional to 1,002.54, 1,502.78 and 563.15 is: 844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.54 : 1,502.78 = 563.15 : x
  2. Step 2: Convert to fraction form
    1,002.54/1,502.78 = 563.15/x
  3. Step 3: Cross multiply
    1,002.54x = 1,502.78 × 563.15
  4. Step 4: Simplify right side
    1,002.54x = 846,280.23
  5. Step 5: Solve for x
    x = 846,280.23/1,002.54
  6. Step 6: Final answer
    x = 844.14

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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.