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Finding the Fourth Proportional to 801.18, 1,198.67 and 708.84

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Solution

The fourth proportional to 801.18, 1,198.67 and 708.84 is: 1,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.18 : 1,198.67 = 708.84 : x
  2. Step 2: Convert to fraction form
    801.18/1,198.67 = 708.84/x
  3. Step 3: Cross multiply
    801.18x = 1,198.67 × 708.84
  4. Step 4: Simplify right side
    801.18x = 849,661.70
  5. Step 5: Solve for x
    x = 849,661.70/801.18
  6. Step 6: Final answer
    x = 1,060.51

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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.