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Finding the Fourth Proportional to 1,311.40, 1,963.86 and 733.06

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Solution

The fourth proportional to 1,311.40, 1,963.86 and 733.06 is: 1,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.40 : 1,963.86 = 733.06 : x
  2. Step 2: Convert to fraction form
    1,311.40/1,963.86 = 733.06/x
  3. Step 3: Cross multiply
    1,311.40x = 1,963.86 × 733.06
  4. Step 4: Simplify right side
    1,311.40x = 1,439,627.21
  5. Step 5: Solve for x
    x = 1,439,627.21/1,311.40
  6. Step 6: Final answer
    x = 1,097.78

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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.