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Finding the Fourth Proportional to 1,002.52, 1,503.72 and 385.96

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Solution

The fourth proportional to 1,002.52, 1,503.72 and 385.96 is: 578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.52 : 1,503.72 = 385.96 : x
  2. Step 2: Convert to fraction form
    1,002.52/1,503.72 = 385.96/x
  3. Step 3: Cross multiply
    1,002.52x = 1,503.72 × 385.96
  4. Step 4: Simplify right side
    1,002.52x = 580,375.77
  5. Step 5: Solve for x
    x = 580,375.77/1,002.52
  6. Step 6: Final answer
    x = 578.92

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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.