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Finding the Fourth Proportional to 861.68, 1,189.10 and 468.70

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Solution

The fourth proportional to 861.68, 1,189.10 and 468.70 is: 646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.68 : 1,189.10 = 468.70 : x
  2. Step 2: Convert to fraction form
    861.68/1,189.10 = 468.70/x
  3. Step 3: Cross multiply
    861.68x = 1,189.10 × 468.70
  4. Step 4: Simplify right side
    861.68x = 557,331.17
  5. Step 5: Solve for x
    x = 557,331.17/861.68
  6. Step 6: Final answer
    x = 646.80

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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.