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Finding the Fourth Proportional to 732.09, 1,098.06 and 299.16

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Solution

The fourth proportional to 732.09, 1,098.06 and 299.16 is: 448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.09 : 1,098.06 = 299.16 : x
  2. Step 2: Convert to fraction form
    732.09/1,098.06 = 299.16/x
  3. Step 3: Cross multiply
    732.09x = 1,098.06 × 299.16
  4. Step 4: Simplify right side
    732.09x = 328,495.63
  5. Step 5: Solve for x
    x = 328,495.63/732.09
  6. Step 6: Final answer
    x = 448.71

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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.