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Finding the Fourth Proportional to 1,002.46, 1,504.12 and 539.70

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Solution

The fourth proportional to 1,002.46, 1,504.12 and 539.70 is: 809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.46 : 1,504.12 = 539.70 : x
  2. Step 2: Convert to fraction form
    1,002.46/1,504.12 = 539.70/x
  3. Step 3: Cross multiply
    1,002.46x = 1,504.12 × 539.70
  4. Step 4: Simplify right side
    1,002.46x = 811,773.56
  5. Step 5: Solve for x
    x = 811,773.56/1,002.46
  6. Step 6: Final answer
    x = 809.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.