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Finding the Fourth Proportional to 861.74, 1,292.84 and 276.75

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Solution

The fourth proportional to 861.74, 1,292.84 and 276.75 is: 415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.74 : 1,292.84 = 276.75 : x
  2. Step 2: Convert to fraction form
    861.74/1,292.84 = 276.75/x
  3. Step 3: Cross multiply
    861.74x = 1,292.84 × 276.75
  4. Step 4: Simplify right side
    861.74x = 357,793.47
  5. Step 5: Solve for x
    x = 357,793.47/861.74
  6. Step 6: Final answer
    x = 415.20

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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.