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Finding the Fourth Proportional to 1,542.76, 2,314.12 and 446.96

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Solution

The fourth proportional to 1,542.76, 2,314.12 and 446.96 is: 670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.76 : 2,314.12 = 446.96 : x
  2. Step 2: Convert to fraction form
    1,542.76/2,314.12 = 446.96/x
  3. Step 3: Cross multiply
    1,542.76x = 2,314.12 × 446.96
  4. Step 4: Simplify right side
    1,542.76x = 1,034,319.08
  5. Step 5: Solve for x
    x = 1,034,319.08/1,542.76
  6. Step 6: Final answer
    x = 670.43

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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.