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Finding the Fourth Proportional to 927.40, 1,391.10 and 842.35

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Solution

The fourth proportional to 927.40, 1,391.10 and 842.35 is: 1,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.40 : 1,391.10 = 842.35 : x
  2. Step 2: Convert to fraction form
    927.40/1,391.10 = 842.35/x
  3. Step 3: Cross multiply
    927.40x = 1,391.10 × 842.35
  4. Step 4: Simplify right side
    927.40x = 1,171,793.09
  5. Step 5: Solve for x
    x = 1,171,793.09/927.40
  6. Step 6: Final answer
    x = 1,263.53

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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.