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Finding the Fourth Proportional to 732.46, 1,098.69 and 299.65

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Solution

The fourth proportional to 732.46, 1,098.69 and 299.65 is: 449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.46 : 1,098.69 = 299.65 : x
  2. Step 2: Convert to fraction form
    732.46/1,098.69 = 299.65/x
  3. Step 3: Cross multiply
    732.46x = 1,098.69 × 299.65
  4. Step 4: Simplify right side
    732.46x = 329,222.46
  5. Step 5: Solve for x
    x = 329,222.46/732.46
  6. Step 6: Final answer
    x = 449.48

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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.