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Finding the Fourth Proportional to 866.37, 1,298.81 and 591.65

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Solution

The fourth proportional to 866.37, 1,298.81 and 591.65 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.37 : 1,298.81 = 591.65 : x
  2. Step 2: Convert to fraction form
    866.37/1,298.81 = 591.65/x
  3. Step 3: Cross multiply
    866.37x = 1,298.81 × 591.65
  4. Step 4: Simplify right side
    866.37x = 768,435.92
  5. Step 5: Solve for x
    x = 768,435.92/866.37
  6. Step 6: Final answer
    x = 886.96

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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.