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Finding the Fourth Proportional to 1,552.97, 2,329.61 and 512.54

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Solution

The fourth proportional to 1,552.97, 2,329.61 and 512.54 is: 768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.97 : 2,329.61 = 512.54 : x
  2. Step 2: Convert to fraction form
    1,552.97/2,329.61 = 512.54/x
  3. Step 3: Cross multiply
    1,552.97x = 2,329.61 × 512.54
  4. Step 4: Simplify right side
    1,552.97x = 1,194,025.94
  5. Step 5: Solve for x
    x = 1,194,025.94/1,552.97
  6. Step 6: Final answer
    x = 768.87

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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.