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Finding the Fourth Proportional to 757.68, 1,046.07 and 600.95

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Solution

The fourth proportional to 757.68, 1,046.07 and 600.95 is: 829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.68 : 1,046.07 = 600.95 : x
  2. Step 2: Convert to fraction form
    757.68/1,046.07 = 600.95/x
  3. Step 3: Cross multiply
    757.68x = 1,046.07 × 600.95
  4. Step 4: Simplify right side
    757.68x = 628,635.77
  5. Step 5: Solve for x
    x = 628,635.77/757.68
  6. Step 6: Final answer
    x = 829.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.