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Finding the Fourth Proportional to 1,001.99, 1,503.07 and 271.61

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Solution

The fourth proportional to 1,001.99, 1,503.07 and 271.61 is: 407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.99 : 1,503.07 = 271.61 : x
  2. Step 2: Convert to fraction form
    1,001.99/1,503.07 = 271.61/x
  3. Step 3: Cross multiply
    1,001.99x = 1,503.07 × 271.61
  4. Step 4: Simplify right side
    1,001.99x = 408,248.84
  5. Step 5: Solve for x
    x = 408,248.84/1,001.99
  6. Step 6: Final answer
    x = 407.44

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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.