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Finding the Fourth Proportional to 1,542.89, 2,314.35 and 447.28

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Solution

The fourth proportional to 1,542.89, 2,314.35 and 447.28 is: 670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.89 : 2,314.35 = 447.28 : x
  2. Step 2: Convert to fraction form
    1,542.89/2,314.35 = 447.28/x
  3. Step 3: Cross multiply
    1,542.89x = 2,314.35 × 447.28
  4. Step 4: Simplify right side
    1,542.89x = 1,035,156.68
  5. Step 5: Solve for x
    x = 1,035,156.68/1,542.89
  6. Step 6: Final answer
    x = 670.92

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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.