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Finding the Fourth Proportional to 861.85, 1,189.35 and 468.88

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Solution

The fourth proportional to 861.85, 1,189.35 and 468.88 is: 647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.85 : 1,189.35 = 468.88 : x
  2. Step 2: Convert to fraction form
    861.85/1,189.35 = 468.88/x
  3. Step 3: Cross multiply
    861.85x = 1,189.35 × 468.88
  4. Step 4: Simplify right side
    861.85x = 557,656.48
  5. Step 5: Solve for x
    x = 557,656.48/861.85
  6. Step 6: Final answer
    x = 647.05

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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.