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Finding the Fourth Proportional to 1,446.14, 1,995.85 and 886.68

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Solution

The fourth proportional to 1,446.14, 1,995.85 and 886.68 is: 1,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.14 : 1,995.85 = 886.68 : x
  2. Step 2: Convert to fraction form
    1,446.14/1,995.85 = 886.68/x
  3. Step 3: Cross multiply
    1,446.14x = 1,995.85 × 886.68
  4. Step 4: Simplify right side
    1,446.14x = 1,769,680.28
  5. Step 5: Solve for x
    x = 1,769,680.28/1,446.14
  6. Step 6: Final answer
    x = 1,223.73

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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.