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Finding the Fourth Proportional to 861.55, 1,188.92 and 468.56

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Solution

The fourth proportional to 861.55, 1,188.92 and 468.56 is: 646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.55 : 1,188.92 = 468.56 : x
  2. Step 2: Convert to fraction form
    861.55/1,188.92 = 468.56/x
  3. Step 3: Cross multiply
    861.55x = 1,188.92 × 468.56
  4. Step 4: Simplify right side
    861.55x = 557,084.50
  5. Step 5: Solve for x
    x = 557,084.50/861.55
  6. Step 6: Final answer
    x = 646.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.