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Finding the Fourth Proportional to 1,227.42, 1,693.60 and 1,040.61

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Solution

The fourth proportional to 1,227.42, 1,693.60 and 1,040.61 is: 1,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.42 : 1,693.60 = 1,040.61 : x
  2. Step 2: Convert to fraction form
    1,227.42/1,693.60 = 1,040.61/x
  3. Step 3: Cross multiply
    1,227.42x = 1,693.60 × 1,040.61
  4. Step 4: Simplify right side
    1,227.42x = 1,762,374.49
  5. Step 5: Solve for x
    x = 1,762,374.49/1,227.42
  6. Step 6: Final answer
    x = 1,435.84

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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.