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Finding the Fourth Proportional to 1,600.29, 2,397.60 and 732.78

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Solution

The fourth proportional to 1,600.29, 2,397.60 and 732.78 is: 1,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.29 : 2,397.60 = 732.78 : x
  2. Step 2: Convert to fraction form
    1,600.29/2,397.60 = 732.78/x
  3. Step 3: Cross multiply
    1,600.29x = 2,397.60 × 732.78
  4. Step 4: Simplify right side
    1,600.29x = 1,756,913.33
  5. Step 5: Solve for x
    x = 1,756,913.33/1,600.29
  6. Step 6: Final answer
    x = 1,097.87

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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.