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Finding the Fourth Proportional to 964.91, 1,444.59 and 734.73

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Solution

The fourth proportional to 964.91, 1,444.59 and 734.73 is: 1,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.91 : 1,444.59 = 734.73 : x
  2. Step 2: Convert to fraction form
    964.91/1,444.59 = 734.73/x
  3. Step 3: Cross multiply
    964.91x = 1,444.59 × 734.73
  4. Step 4: Simplify right side
    964.91x = 1,061,383.61
  5. Step 5: Solve for x
    x = 1,061,383.61/964.91
  6. Step 6: Final answer
    x = 1,099.99

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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.