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Finding the Fourth Proportional to 1,076.41, 1,623.25 and 1,061.83

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Solution

The fourth proportional to 1,076.41, 1,623.25 and 1,061.83 is: 1,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.41 : 1,623.25 = 1,061.83 : x
  2. Step 2: Convert to fraction form
    1,076.41/1,623.25 = 1,061.83/x
  3. Step 3: Cross multiply
    1,076.41x = 1,623.25 × 1,061.83
  4. Step 4: Simplify right side
    1,076.41x = 1,723,615.55
  5. Step 5: Solve for x
    x = 1,723,615.55/1,076.41
  6. Step 6: Final answer
    x = 1,601.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.