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Finding the Fourth Proportional to 731.78, 1,097.04 and 299.24

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Solution

The fourth proportional to 731.78, 1,097.04 and 299.24 is: 448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.78 : 1,097.04 = 299.24 : x
  2. Step 2: Convert to fraction form
    731.78/1,097.04 = 299.24/x
  3. Step 3: Cross multiply
    731.78x = 1,097.04 × 299.24
  4. Step 4: Simplify right side
    731.78x = 328,278.25
  5. Step 5: Solve for x
    x = 328,278.25/731.78
  6. Step 6: Final answer
    x = 448.60

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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.