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Finding the Fourth Proportional to 766.98, 1,150.38 and 508.56

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Solution

The fourth proportional to 766.98, 1,150.38 and 508.56 is: 762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.98 : 1,150.38 = 508.56 : x
  2. Step 2: Convert to fraction form
    766.98/1,150.38 = 508.56/x
  3. Step 3: Cross multiply
    766.98x = 1,150.38 × 508.56
  4. Step 4: Simplify right side
    766.98x = 585,037.25
  5. Step 5: Solve for x
    x = 585,037.25/766.98
  6. Step 6: Final answer
    x = 762.78

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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.