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Finding the Fourth Proportional to 861.12, 1,289.04 and 586.08

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Solution

The fourth proportional to 861.12, 1,289.04 and 586.08 is: 877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.12 : 1,289.04 = 586.08 : x
  2. Step 2: Convert to fraction form
    861.12/1,289.04 = 586.08/x
  3. Step 3: Cross multiply
    861.12x = 1,289.04 × 586.08
  4. Step 4: Simplify right side
    861.12x = 755,480.56
  5. Step 5: Solve for x
    x = 755,480.56/861.12
  6. Step 6: Final answer
    x = 877.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.