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Finding the Fourth Proportional to 1,076.40, 1,623.24 and 1,061.82

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Solution

The fourth proportional to 1,076.40, 1,623.24 and 1,061.82 is: 1,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.40 : 1,623.24 = 1,061.82 : x
  2. Step 2: Convert to fraction form
    1,076.40/1,623.24 = 1,061.82/x
  3. Step 3: Cross multiply
    1,076.40x = 1,623.24 × 1,061.82
  4. Step 4: Simplify right side
    1,076.40x = 1,723,588.70
  5. Step 5: Solve for x
    x = 1,723,588.70/1,076.40
  6. Step 6: Final answer
    x = 1,601.25

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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.