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Finding the Fourth Proportional to 1,488.35, 2,229.62 and 794.78

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Solution

The fourth proportional to 1,488.35, 2,229.62 and 794.78 is: 1,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.35 : 2,229.62 = 794.78 : x
  2. Step 2: Convert to fraction form
    1,488.35/2,229.62 = 794.78/x
  3. Step 3: Cross multiply
    1,488.35x = 2,229.62 × 794.78
  4. Step 4: Simplify right side
    1,488.35x = 1,772,042.26
  5. Step 5: Solve for x
    x = 1,772,042.26/1,488.35
  6. Step 6: Final answer
    x = 1,190.61

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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.