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Finding the Fourth Proportional to 1,061.93, 1,593.09 and 412.31

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Solution

The fourth proportional to 1,061.93, 1,593.09 and 412.31 is: 618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.93 : 1,593.09 = 412.31 : x
  2. Step 2: Convert to fraction form
    1,061.93/1,593.09 = 412.31/x
  3. Step 3: Cross multiply
    1,061.93x = 1,593.09 × 412.31
  4. Step 4: Simplify right side
    1,061.93x = 656,838.97
  5. Step 5: Solve for x
    x = 656,838.97/1,061.93
  6. Step 6: Final answer
    x = 618.54

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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.