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Finding the Fourth Proportional to 732.05, 1,098.29 and 407.65

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Solution

The fourth proportional to 732.05, 1,098.29 and 407.65 is: 611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.05 : 1,098.29 = 407.65 : x
  2. Step 2: Convert to fraction form
    732.05/1,098.29 = 407.65/x
  3. Step 3: Cross multiply
    732.05x = 1,098.29 × 407.65
  4. Step 4: Simplify right side
    732.05x = 447,717.92
  5. Step 5: Solve for x
    x = 447,717.92/732.05
  6. Step 6: Final answer
    x = 611.59

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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.