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Finding the Fourth Proportional to 1,251.03, 1,876.71 and 521.13

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Solution

The fourth proportional to 1,251.03, 1,876.71 and 521.13 is: 781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.03 : 1,876.71 = 521.13 : x
  2. Step 2: Convert to fraction form
    1,251.03/1,876.71 = 521.13/x
  3. Step 3: Cross multiply
    1,251.03x = 1,876.71 × 521.13
  4. Step 4: Simplify right side
    1,251.03x = 978,009.88
  5. Step 5: Solve for x
    x = 978,009.88/1,251.03
  6. Step 6: Final answer
    x = 781.76

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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.