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Finding the Fourth Proportional to 552.70, 827.85 and 552.70

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Solution

The fourth proportional to 552.70, 827.85 and 552.70 is: 827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.70 : 827.85 = 552.70 : x
  2. Step 2: Convert to fraction form
    552.70/827.85 = 552.70/x
  3. Step 3: Cross multiply
    552.70x = 827.85 × 552.70
  4. Step 4: Simplify right side
    552.70x = 457,552.70
  5. Step 5: Solve for x
    x = 457,552.70/552.70
  6. Step 6: Final answer
    x = 827.85

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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.