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Finding the Fourth Proportional to 552.96, 824.03 and 552.05

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Solution

The fourth proportional to 552.96, 824.03 and 552.05 is: 822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.96 : 824.03 = 552.05 : x
  2. Step 2: Convert to fraction form
    552.96/824.03 = 552.05/x
  3. Step 3: Cross multiply
    552.96x = 824.03 × 552.05
  4. Step 4: Simplify right side
    552.96x = 454,898.88
  5. Step 5: Solve for x
    x = 454,898.88/552.96
  6. Step 6: Final answer
    x = 822.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.