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Finding the Fourth Proportional to 991.38, 1,367.35 and 834.85

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Solution

The fourth proportional to 991.38, 1,367.35 and 834.85 is: 1,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.38 : 1,367.35 = 834.85 : x
  2. Step 2: Convert to fraction form
    991.38/1,367.35 = 834.85/x
  3. Step 3: Cross multiply
    991.38x = 1,367.35 × 834.85
  4. Step 4: Simplify right side
    991.38x = 1,141,532.15
  5. Step 5: Solve for x
    x = 1,141,532.15/991.38
  6. Step 6: Final answer
    x = 1,151.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.