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Finding the Fourth Proportional to 861.18, 1,188.42 and 468.18

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Solution

The fourth proportional to 861.18, 1,188.42 and 468.18 is: 646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.18 : 1,188.42 = 468.18 : x
  2. Step 2: Convert to fraction form
    861.18/1,188.42 = 468.18/x
  3. Step 3: Cross multiply
    861.18x = 1,188.42 × 468.18
  4. Step 4: Simplify right side
    861.18x = 556,394.48
  5. Step 5: Solve for x
    x = 556,394.48/861.18
  6. Step 6: Final answer
    x = 646.08

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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.