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Finding the Fourth Proportional to 1,002.05, 1,502.87 and 271.64

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Solution

The fourth proportional to 1,002.05, 1,502.87 and 271.64 is: 407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.05 : 1,502.87 = 271.64 : x
  2. Step 2: Convert to fraction form
    1,002.05/1,502.87 = 271.64/x
  3. Step 3: Cross multiply
    1,002.05x = 1,502.87 × 271.64
  4. Step 4: Simplify right side
    1,002.05x = 408,230.73
  5. Step 5: Solve for x
    x = 408,230.73/1,002.05
  6. Step 6: Final answer
    x = 407.39

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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.