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Finding the Fourth Proportional to 1,273.19, 1,908.42 and 532.61

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Solution

The fourth proportional to 1,273.19, 1,908.42 and 532.61 is: 798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.19 : 1,908.42 = 532.61 : x
  2. Step 2: Convert to fraction form
    1,273.19/1,908.42 = 532.61/x
  3. Step 3: Cross multiply
    1,273.19x = 1,908.42 × 532.61
  4. Step 4: Simplify right side
    1,273.19x = 1,016,443.58
  5. Step 5: Solve for x
    x = 1,016,443.58/1,273.19
  6. Step 6: Final answer
    x = 798.34

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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.