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Finding the Fourth Proportional to 1,002.03, 1,500.84 and 826.73

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Solution

The fourth proportional to 1,002.03, 1,500.84 and 826.73 is: 1,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.03 : 1,500.84 = 826.73 : x
  2. Step 2: Convert to fraction form
    1,002.03/1,500.84 = 826.73/x
  3. Step 3: Cross multiply
    1,002.03x = 1,500.84 × 826.73
  4. Step 4: Simplify right side
    1,002.03x = 1,240,781.95
  5. Step 5: Solve for x
    x = 1,240,781.95/1,002.03
  6. Step 6: Final answer
    x = 1,238.27

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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.