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Finding the Fourth Proportional to 861.11, 1,188.36 and 468.16

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Solution

The fourth proportional to 861.11, 1,188.36 and 468.16 is: 646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.11 : 1,188.36 = 468.16 : x
  2. Step 2: Convert to fraction form
    861.11/1,188.36 = 468.16/x
  3. Step 3: Cross multiply
    861.11x = 1,188.36 × 468.16
  4. Step 4: Simplify right side
    861.11x = 556,342.62
  5. Step 5: Solve for x
    x = 556,342.62/861.11
  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.