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Finding the Fourth Proportional to 835.03, 1,251.32 and 469.92

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Solution

The fourth proportional to 835.03, 1,251.32 and 469.92 is: 704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.03 : 1,251.32 = 469.92 : x
  2. Step 2: Convert to fraction form
    835.03/1,251.32 = 469.92/x
  3. Step 3: Cross multiply
    835.03x = 1,251.32 × 469.92
  4. Step 4: Simplify right side
    835.03x = 588,018.34
  5. Step 5: Solve for x
    x = 588,018.34/835.03
  6. Step 6: Final answer
    x = 704.19

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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.