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Finding the Fourth Proportional to 766.11, 1,150.08 and 458.11

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Solution

The fourth proportional to 766.11, 1,150.08 and 458.11 is: 687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.11 : 1,150.08 = 458.11 : x
  2. Step 2: Convert to fraction form
    766.11/1,150.08 = 458.11/x
  3. Step 3: Cross multiply
    766.11x = 1,150.08 × 458.11
  4. Step 4: Simplify right side
    766.11x = 526,863.15
  5. Step 5: Solve for x
    x = 526,863.15/766.11
  6. Step 6: Final answer
    x = 687.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.