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Finding the Fourth Proportional to 731.32, 1,097.08 and 341.12

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Solution

The fourth proportional to 731.32, 1,097.08 and 341.12 is: 511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.32 : 1,097.08 = 341.12 : x
  2. Step 2: Convert to fraction form
    731.32/1,097.08 = 341.12/x
  3. Step 3: Cross multiply
    731.32x = 1,097.08 × 341.12
  4. Step 4: Simplify right side
    731.32x = 374,235.93
  5. Step 5: Solve for x
    x = 374,235.93/731.32
  6. Step 6: Final answer
    x = 511.73

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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.