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Finding the Fourth Proportional to 1,305.81, 1,959.12 and 484.47

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Solution

The fourth proportional to 1,305.81, 1,959.12 and 484.47 is: 726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.81 : 1,959.12 = 484.47 : x
  2. Step 2: Convert to fraction form
    1,305.81/1,959.12 = 484.47/x
  3. Step 3: Cross multiply
    1,305.81x = 1,959.12 × 484.47
  4. Step 4: Simplify right side
    1,305.81x = 949,134.87
  5. Step 5: Solve for x
    x = 949,134.87/1,305.81
  6. Step 6: Final answer
    x = 726.86

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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.