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Finding the Fourth Proportional to 1,446.85, 2,169.33 and 716.91

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Solution

The fourth proportional to 1,446.85, 2,169.33 and 716.91 is: 1,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.85 : 2,169.33 = 716.91 : x
  2. Step 2: Convert to fraction form
    1,446.85/2,169.33 = 716.91/x
  3. Step 3: Cross multiply
    1,446.85x = 2,169.33 × 716.91
  4. Step 4: Simplify right side
    1,446.85x = 1,555,214.37
  5. Step 5: Solve for x
    x = 1,555,214.37/1,446.85
  6. Step 6: Final answer
    x = 1,074.90

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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.