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Finding the Fourth Proportional to 861.29, 1,188.59 and 468.33

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Solution

The fourth proportional to 861.29, 1,188.59 and 468.33 is: 646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.29 : 1,188.59 = 468.33 : x
  2. Step 2: Convert to fraction form
    861.29/1,188.59 = 468.33/x
  3. Step 3: Cross multiply
    861.29x = 1,188.59 × 468.33
  4. Step 4: Simplify right side
    861.29x = 556,653.53
  5. Step 5: Solve for x
    x = 556,653.53/861.29
  6. Step 6: Final answer
    x = 646.31

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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.