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Finding the Fourth Proportional to 697.82, 963.77 and 464.54

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Solution

The fourth proportional to 697.82, 963.77 and 464.54 is: 641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.82 : 963.77 = 464.54 : x
  2. Step 2: Convert to fraction form
    697.82/963.77 = 464.54/x
  3. Step 3: Cross multiply
    697.82x = 963.77 × 464.54
  4. Step 4: Simplify right side
    697.82x = 447,702.57
  5. Step 5: Solve for x
    x = 447,702.57/697.82
  6. Step 6: Final answer
    x = 641.58

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