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Finding the Fourth Proportional to 861.07, 1,188.29 and 468.11

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Solution

The fourth proportional to 861.07, 1,188.29 and 468.11 is: 646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.07 : 1,188.29 = 468.11 : x
  2. Step 2: Convert to fraction form
    861.07/1,188.29 = 468.11/x
  3. Step 3: Cross multiply
    861.07x = 1,188.29 × 468.11
  4. Step 4: Simplify right side
    861.07x = 556,250.43
  5. Step 5: Solve for x
    x = 556,250.43/861.07
  6. Step 6: Final answer
    x = 646.00

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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.