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Finding the Fourth Proportional to 861.30, 1,189.08 and 596.13

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Solution

The fourth proportional to 861.30, 1,189.08 and 596.13 is: 823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.30 : 1,189.08 = 596.13 : x
  2. Step 2: Convert to fraction form
    861.30/1,189.08 = 596.13/x
  3. Step 3: Cross multiply
    861.30x = 1,189.08 × 596.13
  4. Step 4: Simplify right side
    861.30x = 708,846.26
  5. Step 5: Solve for x
    x = 708,846.26/861.30
  6. Step 6: Final answer
    x = 823.00

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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.