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Finding the Fourth Proportional to 801.19, 1,198.68 and 702.91

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Solution

The fourth proportional to 801.19, 1,198.68 and 702.91 is: 1,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.19 : 1,198.68 = 702.91 : x
  2. Step 2: Convert to fraction form
    801.19/1,198.68 = 702.91/x
  3. Step 3: Cross multiply
    801.19x = 1,198.68 × 702.91
  4. Step 4: Simplify right side
    801.19x = 842,564.16
  5. Step 5: Solve for x
    x = 842,564.16/801.19
  6. Step 6: Final answer
    x = 1,051.64

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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.