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Finding the Fourth Proportional to 1,323.96, 1,825.42 and 1,061.56

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Solution

The fourth proportional to 1,323.96, 1,825.42 and 1,061.56 is: 1,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.96 : 1,825.42 = 1,061.56 : x
  2. Step 2: Convert to fraction form
    1,323.96/1,825.42 = 1,061.56/x
  3. Step 3: Cross multiply
    1,323.96x = 1,825.42 × 1,061.56
  4. Step 4: Simplify right side
    1,323.96x = 1,937,792.86
  5. Step 5: Solve for x
    x = 1,937,792.86/1,323.96
  6. Step 6: Final answer
    x = 1,463.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.