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Finding the Fourth Proportional to 964.68, 1,446.09 and 732.90

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Solution

The fourth proportional to 964.68, 1,446.09 and 732.90 is: 1,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.68 : 1,446.09 = 732.90 : x
  2. Step 2: Convert to fraction form
    964.68/1,446.09 = 732.90/x
  3. Step 3: Cross multiply
    964.68x = 1,446.09 × 732.90
  4. Step 4: Simplify right side
    964.68x = 1,059,839.36
  5. Step 5: Solve for x
    x = 1,059,839.36/964.68
  6. Step 6: Final answer
    x = 1,098.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.