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Finding the Fourth Proportional to 601.08, 824.56 and 563.80

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Solution

The fourth proportional to 601.08, 824.56 and 563.80 is: 773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.08 : 824.56 = 563.80 : x
  2. Step 2: Convert to fraction form
    601.08/824.56 = 563.80/x
  3. Step 3: Cross multiply
    601.08x = 824.56 × 563.80
  4. Step 4: Simplify right side
    601.08x = 464,886.93
  5. Step 5: Solve for x
    x = 464,886.93/601.08
  6. Step 6: Final answer
    x = 773.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.