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Finding the Fourth Proportional to 701.15, 1,046.78 and 535.74

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Solution

The fourth proportional to 701.15, 1,046.78 and 535.74 is: 799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.15 : 1,046.78 = 535.74 : x
  2. Step 2: Convert to fraction form
    701.15/1,046.78 = 535.74/x
  3. Step 3: Cross multiply
    701.15x = 1,046.78 × 535.74
  4. Step 4: Simplify right side
    701.15x = 560,799.24
  5. Step 5: Solve for x
    x = 560,799.24/701.15
  6. Step 6: Final answer
    x = 799.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.