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Finding the Fourth Proportional to 1,073.54, 1,608.86 and 682.92

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Solution

The fourth proportional to 1,073.54, 1,608.86 and 682.92 is: 1,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.54 : 1,608.86 = 682.92 : x
  2. Step 2: Convert to fraction form
    1,073.54/1,608.86 = 682.92/x
  3. Step 3: Cross multiply
    1,073.54x = 1,608.86 × 682.92
  4. Step 4: Simplify right side
    1,073.54x = 1,098,724.38
  5. Step 5: Solve for x
    x = 1,098,724.38/1,073.54
  6. Step 6: Final answer
    x = 1,023.46

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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.