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Finding the Fourth Proportional to 1,542.75, 2,314.14 and 446.97

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Solution

The fourth proportional to 1,542.75, 2,314.14 and 446.97 is: 670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.75 : 2,314.14 = 446.97 : x
  2. Step 2: Convert to fraction form
    1,542.75/2,314.14 = 446.97/x
  3. Step 3: Cross multiply
    1,542.75x = 2,314.14 × 446.97
  4. Step 4: Simplify right side
    1,542.75x = 1,034,351.16
  5. Step 5: Solve for x
    x = 1,034,351.16/1,542.75
  6. Step 6: Final answer
    x = 670.46

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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.