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Finding the Fourth Proportional to 731.35, 1,095.49 and 341.69

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Solution

The fourth proportional to 731.35, 1,095.49 and 341.69 is: 511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.35 : 1,095.49 = 341.69 : x
  2. Step 2: Convert to fraction form
    731.35/1,095.49 = 341.69/x
  3. Step 3: Cross multiply
    731.35x = 1,095.49 × 341.69
  4. Step 4: Simplify right side
    731.35x = 374,317.98
  5. Step 5: Solve for x
    x = 374,317.98/731.35
  6. Step 6: Final answer
    x = 511.82

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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.