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Finding the Fourth Proportional to 1,306.38, 1,959.96 and 440.76

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Solution

The fourth proportional to 1,306.38, 1,959.96 and 440.76 is: 661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.38 : 1,959.96 = 440.76 : x
  2. Step 2: Convert to fraction form
    1,306.38/1,959.96 = 440.76/x
  3. Step 3: Cross multiply
    1,306.38x = 1,959.96 × 440.76
  4. Step 4: Simplify right side
    1,306.38x = 863,871.97
  5. Step 5: Solve for x
    x = 863,871.97/1,306.38
  6. Step 6: Final answer
    x = 661.27

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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.