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Finding the Fourth Proportional to 1,479.20, 2,041.24 and 849.28

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Solution

The fourth proportional to 1,479.20, 2,041.24 and 849.28 is: 1,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.20 : 2,041.24 = 849.28 : x
  2. Step 2: Convert to fraction form
    1,479.20/2,041.24 = 849.28/x
  3. Step 3: Cross multiply
    1,479.20x = 2,041.24 × 849.28
  4. Step 4: Simplify right side
    1,479.20x = 1,733,584.31
  5. Step 5: Solve for x
    x = 1,733,584.31/1,479.20
  6. Step 6: Final answer
    x = 1,171.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.