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Finding the Fourth Proportional to 866.48, 1,298.97 and 818.15

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Solution

The fourth proportional to 866.48, 1,298.97 and 818.15 is: 1,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.48 : 1,298.97 = 818.15 : x
  2. Step 2: Convert to fraction form
    866.48/1,298.97 = 818.15/x
  3. Step 3: Cross multiply
    866.48x = 1,298.97 × 818.15
  4. Step 4: Simplify right side
    866.48x = 1,062,745.81
  5. Step 5: Solve for x
    x = 1,062,745.81/866.48
  6. Step 6: Final answer
    x = 1,226.52

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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.