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Finding the Fourth Proportional to 1,446.58, 2,169.06 and 472.42

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Solution

The fourth proportional to 1,446.58, 2,169.06 and 472.42 is: 708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.58 : 2,169.06 = 472.42 : x
  2. Step 2: Convert to fraction form
    1,446.58/2,169.06 = 472.42/x
  3. Step 3: Cross multiply
    1,446.58x = 2,169.06 × 472.42
  4. Step 4: Simplify right side
    1,446.58x = 1,024,707.33
  5. Step 5: Solve for x
    x = 1,024,707.33/1,446.58
  6. Step 6: Final answer
    x = 708.37

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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.