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Finding the Fourth Proportional to 731.45, 1,097.16 and 183.63

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Solution

The fourth proportional to 731.45, 1,097.16 and 183.63 is: 275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.45 : 1,097.16 = 183.63 : x
  2. Step 2: Convert to fraction form
    731.45/1,097.16 = 183.63/x
  3. Step 3: Cross multiply
    731.45x = 1,097.16 × 183.63
  4. Step 4: Simplify right side
    731.45x = 201,470.57
  5. Step 5: Solve for x
    x = 201,470.57/731.45
  6. Step 6: Final answer
    x = 275.44

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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.