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Finding the Fourth Proportional to 699.22, 963.49 and 574.48

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Solution

The fourth proportional to 699.22, 963.49 and 574.48 is: 791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.22 : 963.49 = 574.48 : x
  2. Step 2: Convert to fraction form
    699.22/963.49 = 574.48/x
  3. Step 3: Cross multiply
    699.22x = 963.49 × 574.48
  4. Step 4: Simplify right side
    699.22x = 553,498.05
  5. Step 5: Solve for x
    x = 553,498.05/699.22
  6. Step 6: Final answer
    x = 791.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.