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Finding the Fourth Proportional to 766.64, 1,149.96 and 597.68

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Solution

The fourth proportional to 766.64, 1,149.96 and 597.68 is: 896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.64 : 1,149.96 = 597.68 : x
  2. Step 2: Convert to fraction form
    766.64/1,149.96 = 597.68/x
  3. Step 3: Cross multiply
    766.64x = 1,149.96 × 597.68
  4. Step 4: Simplify right side
    766.64x = 687,308.09
  5. Step 5: Solve for x
    x = 687,308.09/766.64
  6. Step 6: Final answer
    x = 896.52

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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.