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Finding the Fourth Proportional to 1,446.81, 2,169.57 and 459.34

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Solution

The fourth proportional to 1,446.81, 2,169.57 and 459.34 is: 688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.81 : 2,169.57 = 459.34 : x
  2. Step 2: Convert to fraction form
    1,446.81/2,169.57 = 459.34/x
  3. Step 3: Cross multiply
    1,446.81x = 2,169.57 × 459.34
  4. Step 4: Simplify right side
    1,446.81x = 996,570.28
  5. Step 5: Solve for x
    x = 996,570.28/1,446.81
  6. Step 6: Final answer
    x = 688.81

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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.