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Finding the Fourth Proportional to 861.08, 1,186.36 and 565.82

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Solution

The fourth proportional to 861.08, 1,186.36 and 565.82 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.08 : 1,186.36 = 565.82 : x
  2. Step 2: Convert to fraction form
    861.08/1,186.36 = 565.82/x
  3. Step 3: Cross multiply
    861.08x = 1,186.36 × 565.82
  4. Step 4: Simplify right side
    861.08x = 671,266.22
  5. Step 5: Solve for x
    x = 671,266.22/861.08
  6. Step 6: Final answer
    x = 779.56

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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.