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Finding the Fourth Proportional to 1,306.20, 1,959.24 and 656.44

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Solution

The fourth proportional to 1,306.20, 1,959.24 and 656.44 is: 984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.20 : 1,959.24 = 656.44 : x
  2. Step 2: Convert to fraction form
    1,306.20/1,959.24 = 656.44/x
  3. Step 3: Cross multiply
    1,306.20x = 1,959.24 × 656.44
  4. Step 4: Simplify right side
    1,306.20x = 1,286,123.51
  5. Step 5: Solve for x
    x = 1,286,123.51/1,306.20
  6. Step 6: Final answer
    x = 984.63

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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.