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Finding the Fourth Proportional to 1,001.79, 1,502.57 and 271.44

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Solution

The fourth proportional to 1,001.79, 1,502.57 and 271.44 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.79 : 1,502.57 = 271.44 : x
  2. Step 2: Convert to fraction form
    1,001.79/1,502.57 = 271.44/x
  3. Step 3: Cross multiply
    1,001.79x = 1,502.57 × 271.44
  4. Step 4: Simplify right side
    1,001.79x = 407,856.24
  5. Step 5: Solve for x
    x = 407,856.24/1,001.79
  6. Step 6: Final answer
    x = 407.13

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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.