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Finding the Fourth Proportional to 1,002.17, 1,503.46 and 385.76

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Solution

The fourth proportional to 1,002.17, 1,503.46 and 385.76 is: 578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.17 : 1,503.46 = 385.76 : x
  2. Step 2: Convert to fraction form
    1,002.17/1,503.46 = 385.76/x
  3. Step 3: Cross multiply
    1,002.17x = 1,503.46 × 385.76
  4. Step 4: Simplify right side
    1,002.17x = 579,978.97
  5. Step 5: Solve for x
    x = 579,978.97/1,002.17
  6. Step 6: Final answer
    x = 578.72

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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.