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Finding the Fourth Proportional to 1,184.70, 1,633.42 and 834.78

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Solution

The fourth proportional to 1,184.70, 1,633.42 and 834.78 is: 1,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.70 : 1,633.42 = 834.78 : x
  2. Step 2: Convert to fraction form
    1,184.70/1,633.42 = 834.78/x
  3. Step 3: Cross multiply
    1,184.70x = 1,633.42 × 834.78
  4. Step 4: Simplify right side
    1,184.70x = 1,363,546.35
  5. Step 5: Solve for x
    x = 1,363,546.35/1,184.70
  6. Step 6: Final answer
    x = 1,150.96

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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.