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Finding the Fourth Proportional to 652.16, 976.14 and 552.56

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Solution

The fourth proportional to 652.16, 976.14 and 552.56 is: 827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.16 : 976.14 = 552.56 : x
  2. Step 2: Convert to fraction form
    652.16/976.14 = 552.56/x
  3. Step 3: Cross multiply
    652.16x = 976.14 × 552.56
  4. Step 4: Simplify right side
    652.16x = 539,375.92
  5. Step 5: Solve for x
    x = 539,375.92/652.16
  6. Step 6: Final answer
    x = 827.06

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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.