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Finding the Fourth Proportional to 834.18, 1,249.68 and 467.86

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Solution

The fourth proportional to 834.18, 1,249.68 and 467.86 is: 700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.18 : 1,249.68 = 467.86 : x
  2. Step 2: Convert to fraction form
    834.18/1,249.68 = 467.86/x
  3. Step 3: Cross multiply
    834.18x = 1,249.68 × 467.86
  4. Step 4: Simplify right side
    834.18x = 584,675.28
  5. Step 5: Solve for x
    x = 584,675.28/834.18
  6. Step 6: Final answer
    x = 700.90

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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.