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Finding the Fourth Proportional to 1,035.97, 1,552.49 and 515.48

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Solution

The fourth proportional to 1,035.97, 1,552.49 and 515.48 is: 772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.97 : 1,552.49 = 515.48 : x
  2. Step 2: Convert to fraction form
    1,035.97/1,552.49 = 515.48/x
  3. Step 3: Cross multiply
    1,035.97x = 1,552.49 × 515.48
  4. Step 4: Simplify right side
    1,035.97x = 800,269.78
  5. Step 5: Solve for x
    x = 800,269.78/1,035.97
  6. Step 6: Final answer
    x = 772.49

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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.