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Finding the Fourth Proportional to 1,073.34, 1,608.92 and 610.16

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Solution

The fourth proportional to 1,073.34, 1,608.92 and 610.16 is: 914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.34 : 1,608.92 = 610.16 : x
  2. Step 2: Convert to fraction form
    1,073.34/1,608.92 = 610.16/x
  3. Step 3: Cross multiply
    1,073.34x = 1,608.92 × 610.16
  4. Step 4: Simplify right side
    1,073.34x = 981,698.11
  5. Step 5: Solve for x
    x = 981,698.11/1,073.34
  6. Step 6: Final answer
    x = 914.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.