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Finding the Fourth Proportional to 1,001.87, 1,502.79 and 271.44

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Solution

The fourth proportional to 1,001.87, 1,502.79 and 271.44 is: 407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.87 : 1,502.79 = 271.44 : x
  2. Step 2: Convert to fraction form
    1,001.87/1,502.79 = 271.44/x
  3. Step 3: Cross multiply
    1,001.87x = 1,502.79 × 271.44
  4. Step 4: Simplify right side
    1,001.87x = 407,915.96
  5. Step 5: Solve for x
    x = 407,915.96/1,001.87
  6. Step 6: Final answer
    x = 407.16

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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.