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Finding the Fourth Proportional to 861.45, 1,188.99 and 566.75

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Solution

The fourth proportional to 861.45, 1,188.99 and 566.75 is: 782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.45 : 1,188.99 = 566.75 : x
  2. Step 2: Convert to fraction form
    861.45/1,188.99 = 566.75/x
  3. Step 3: Cross multiply
    861.45x = 1,188.99 × 566.75
  4. Step 4: Simplify right side
    861.45x = 673,854.14
  5. Step 5: Solve for x
    x = 673,854.14/861.45
  6. Step 6: Final answer
    x = 782.23

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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.