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Finding the Fourth Proportional to 861.14, 1,188.41 and 468.20

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Solution

The fourth proportional to 861.14, 1,188.41 and 468.20 is: 646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.14 : 1,188.41 = 468.20 : x
  2. Step 2: Convert to fraction form
    861.14/1,188.41 = 468.20/x
  3. Step 3: Cross multiply
    861.14x = 1,188.41 × 468.20
  4. Step 4: Simplify right side
    861.14x = 556,405.28
  5. Step 5: Solve for x
    x = 556,405.28/861.14
  6. Step 6: Final answer
    x = 646.13

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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.