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Finding the Fourth Proportional to 861.10, 1,188.32 and 468.13

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Solution

The fourth proportional to 861.10, 1,188.32 and 468.13 is: 646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.10 : 1,188.32 = 468.13 : x
  2. Step 2: Convert to fraction form
    861.10/1,188.32 = 468.13/x
  3. Step 3: Cross multiply
    861.10x = 1,188.32 × 468.13
  4. Step 4: Simplify right side
    861.10x = 556,288.24
  5. Step 5: Solve for x
    x = 556,288.24/861.10
  6. Step 6: Final answer
    x = 646.02

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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.