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Finding the Fourth Proportional to 1,306.79, 1,959.17 and 1,133.21

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Solution

The fourth proportional to 1,306.79, 1,959.17 and 1,133.21 is: 1,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.79 : 1,959.17 = 1,133.21 : x
  2. Step 2: Convert to fraction form
    1,306.79/1,959.17 = 1,133.21/x
  3. Step 3: Cross multiply
    1,306.79x = 1,959.17 × 1,133.21
  4. Step 4: Simplify right side
    1,306.79x = 2,220,155.93
  5. Step 5: Solve for x
    x = 2,220,155.93/1,306.79
  6. Step 6: Final answer
    x = 1,698.95

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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.