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Finding the Fourth Proportional to 1,002.57, 1,503.84 and 272.14

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Solution

The fourth proportional to 1,002.57, 1,503.84 and 272.14 is: 408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.57 : 1,503.84 = 272.14 : x
  2. Step 2: Convert to fraction form
    1,002.57/1,503.84 = 272.14/x
  3. Step 3: Cross multiply
    1,002.57x = 1,503.84 × 272.14
  4. Step 4: Simplify right side
    1,002.57x = 409,247.50
  5. Step 5: Solve for x
    x = 409,247.50/1,002.57
  6. Step 6: Final answer
    x = 408.20

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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.