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Finding the Fourth Proportional to 1,097.70, 1,639.88 and 836.97

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Solution

The fourth proportional to 1,097.70, 1,639.88 and 836.97 is: 1,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.70 : 1,639.88 = 836.97 : x
  2. Step 2: Convert to fraction form
    1,097.70/1,639.88 = 836.97/x
  3. Step 3: Cross multiply
    1,097.70x = 1,639.88 × 836.97
  4. Step 4: Simplify right side
    1,097.70x = 1,372,523.17
  5. Step 5: Solve for x
    x = 1,372,523.17/1,097.70
  6. Step 6: Final answer
    x = 1,250.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.