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Finding the Fourth Proportional to 861.36, 1,290.96 and 718.80

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Solution

The fourth proportional to 861.36, 1,290.96 and 718.80 is: 1,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.36 : 1,290.96 = 718.80 : x
  2. Step 2: Convert to fraction form
    861.36/1,290.96 = 718.80/x
  3. Step 3: Cross multiply
    861.36x = 1,290.96 × 718.80
  4. Step 4: Simplify right side
    861.36x = 927,942.05
  5. Step 5: Solve for x
    x = 927,942.05/861.36
  6. Step 6: Final answer
    x = 1,077.30

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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.