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Finding the Fourth Proportional to 1,001.78, 1,502.64 and 271.43

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Solution

The fourth proportional to 1,001.78, 1,502.64 and 271.43 is: 407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.78 : 1,502.64 = 271.43 : x
  2. Step 2: Convert to fraction form
    1,001.78/1,502.64 = 271.43/x
  3. Step 3: Cross multiply
    1,001.78x = 1,502.64 × 271.43
  4. Step 4: Simplify right side
    1,001.78x = 407,861.58
  5. Step 5: Solve for x
    x = 407,861.58/1,001.78
  6. Step 6: Final answer
    x = 407.14

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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.