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Finding the Fourth Proportional to 861.86, 1,293.46 and 314.20

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Solution

The fourth proportional to 861.86, 1,293.46 and 314.20 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.86 : 1,293.46 = 314.20 : x
  2. Step 2: Convert to fraction form
    861.86/1,293.46 = 314.20/x
  3. Step 3: Cross multiply
    861.86x = 1,293.46 × 314.20
  4. Step 4: Simplify right side
    861.86x = 406,405.13
  5. Step 5: Solve for x
    x = 406,405.13/861.86
  6. Step 6: Final answer
    x = 471.54

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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.