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Finding the Fourth Proportional to 861.97, 1,189.52 and 469

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Solution

The fourth proportional to 861.97, 1,189.52 and 469 is: 647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.97 : 1,189.52 = 469 : x
  2. Step 2: Convert to fraction form
    861.97/1,189.52 = 469/x
  3. Step 3: Cross multiply
    861.97x = 1,189.52 × 469
  4. Step 4: Simplify right side
    861.97x = 557,884.88
  5. Step 5: Solve for x
    x = 557,884.88/861.97
  6. Step 6: Final answer
    x = 647.22

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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.