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Finding the Fourth Proportional to 1,091.07, 1,634.85 and 830.70

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Solution

The fourth proportional to 1,091.07, 1,634.85 and 830.70 is: 1,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.07 : 1,634.85 = 830.70 : x
  2. Step 2: Convert to fraction form
    1,091.07/1,634.85 = 830.70/x
  3. Step 3: Cross multiply
    1,091.07x = 1,634.85 × 830.70
  4. Step 4: Simplify right side
    1,091.07x = 1,358,069.90
  5. Step 5: Solve for x
    x = 1,358,069.90/1,091.07
  6. Step 6: Final answer
    x = 1,244.71

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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.