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Finding the Fourth Proportional to 732.06, 1,097.60 and 341.87

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Solution

The fourth proportional to 732.06, 1,097.60 and 341.87 is: 512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.06 : 1,097.60 = 341.87 : x
  2. Step 2: Convert to fraction form
    732.06/1,097.60 = 341.87/x
  3. Step 3: Cross multiply
    732.06x = 1,097.60 × 341.87
  4. Step 4: Simplify right side
    732.06x = 375,229.31
  5. Step 5: Solve for x
    x = 375,229.31/732.06
  6. Step 6: Final answer
    x = 512.57

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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.