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Finding the Fourth Proportional to 732.19, 1,098.47 and 299.47

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Solution

The fourth proportional to 732.19, 1,098.47 and 299.47 is: 449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.19 : 1,098.47 = 299.47 : x
  2. Step 2: Convert to fraction form
    732.19/1,098.47 = 299.47/x
  3. Step 3: Cross multiply
    732.19x = 1,098.47 × 299.47
  4. Step 4: Simplify right side
    732.19x = 328,958.81
  5. Step 5: Solve for x
    x = 328,958.81/732.19
  6. Step 6: Final answer
    x = 449.28

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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.