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Finding the Fourth Proportional to 731.45, 1,097.12 and 320.48

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Solution

The fourth proportional to 731.45, 1,097.12 and 320.48 is: 480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.45 : 1,097.12 = 320.48 : x
  2. Step 2: Convert to fraction form
    731.45/1,097.12 = 320.48/x
  3. Step 3: Cross multiply
    731.45x = 1,097.12 × 320.48
  4. Step 4: Simplify right side
    731.45x = 351,597.93
  5. Step 5: Solve for x
    x = 351,597.93/731.45
  6. Step 6: Final answer
    x = 480.69

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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.