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Finding the Fourth Proportional to 964.62, 1,444.14 and 722.16

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Solution

The fourth proportional to 964.62, 1,444.14 and 722.16 is: 1,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.62 : 1,444.14 = 722.16 : x
  2. Step 2: Convert to fraction form
    964.62/1,444.14 = 722.16/x
  3. Step 3: Cross multiply
    964.62x = 1,444.14 × 722.16
  4. Step 4: Simplify right side
    964.62x = 1,042,900.14
  5. Step 5: Solve for x
    x = 1,042,900.14/964.62
  6. Step 6: Final answer
    x = 1,081.15

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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.