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Finding the Fourth Proportional to 861.57, 1,188.96 and 468.59

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Solution

The fourth proportional to 861.57, 1,188.96 and 468.59 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.57 : 1,188.96 = 468.59 : x
  2. Step 2: Convert to fraction form
    861.57/1,188.96 = 468.59/x
  3. Step 3: Cross multiply
    861.57x = 1,188.96 × 468.59
  4. Step 4: Simplify right side
    861.57x = 557,128.82
  5. Step 5: Solve for x
    x = 557,128.82/861.57
  6. Step 6: Final answer
    x = 646.64

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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.