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Finding the Fourth Proportional to 1,001.80, 1,502.70 and 271.38

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Solution

The fourth proportional to 1,001.80, 1,502.70 and 271.38 is: 407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.80 : 1,502.70 = 271.38 : x
  2. Step 2: Convert to fraction form
    1,001.80/1,502.70 = 271.38/x
  3. Step 3: Cross multiply
    1,001.80x = 1,502.70 × 271.38
  4. Step 4: Simplify right side
    1,001.80x = 407,799.17
  5. Step 5: Solve for x
    x = 407,799.17/1,001.80
  6. Step 6: Final answer
    x = 407.07

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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.