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Finding the Fourth Proportional to 1,002.56, 1,503.72 and 272.21

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Solution

The fourth proportional to 1,002.56, 1,503.72 and 272.21 is: 408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.56 : 1,503.72 = 272.21 : x
  2. Step 2: Convert to fraction form
    1,002.56/1,503.72 = 272.21/x
  3. Step 3: Cross multiply
    1,002.56x = 1,503.72 × 272.21
  4. Step 4: Simplify right side
    1,002.56x = 409,327.62
  5. Step 5: Solve for x
    x = 409,327.62/1,002.56
  6. Step 6: Final answer
    x = 408.28

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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.