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Finding the Fourth Proportional to 1,002.38, 1,504.09 and 515.46

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Solution

The fourth proportional to 1,002.38, 1,504.09 and 515.46 is: 773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.38 : 1,504.09 = 515.46 : x
  2. Step 2: Convert to fraction form
    1,002.38/1,504.09 = 515.46/x
  3. Step 3: Cross multiply
    1,002.38x = 1,504.09 × 515.46
  4. Step 4: Simplify right side
    1,002.38x = 775,305.97
  5. Step 5: Solve for x
    x = 775,305.97/1,002.38
  6. Step 6: Final answer
    x = 773.47

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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.