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Finding the Fourth Proportional to 1,799.74, 2,697.81 and 702.60

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Solution

The fourth proportional to 1,799.74, 2,697.81 and 702.60 is: 1,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.74 : 2,697.81 = 702.60 : x
  2. Step 2: Convert to fraction form
    1,799.74/2,697.81 = 702.60/x
  3. Step 3: Cross multiply
    1,799.74x = 2,697.81 × 702.60
  4. Step 4: Simplify right side
    1,799.74x = 1,895,481.31
  5. Step 5: Solve for x
    x = 1,895,481.31/1,799.74
  6. Step 6: Final answer
    x = 1,053.20

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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.