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Finding the Fourth Proportional to 861.76, 1,292.73 and 276.62

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Solution

The fourth proportional to 861.76, 1,292.73 and 276.62 is: 414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.76 : 1,292.73 = 276.62 : x
  2. Step 2: Convert to fraction form
    861.76/1,292.73 = 276.62/x
  3. Step 3: Cross multiply
    861.76x = 1,292.73 × 276.62
  4. Step 4: Simplify right side
    861.76x = 357,598.20
  5. Step 5: Solve for x
    x = 357,598.20/861.76
  6. Step 6: Final answer
    x = 414.96

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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.