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Finding the Fourth Proportional to 618.06, 925.66 and 563.38

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Solution

The fourth proportional to 618.06, 925.66 and 563.38 is: 843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.06 : 925.66 = 563.38 : x
  2. Step 2: Convert to fraction form
    618.06/925.66 = 563.38/x
  3. Step 3: Cross multiply
    618.06x = 925.66 × 563.38
  4. Step 4: Simplify right side
    618.06x = 521,498.33
  5. Step 5: Solve for x
    x = 521,498.33/618.06
  6. Step 6: Final answer
    x = 843.77

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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.