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Finding the Fourth Proportional to 645.71, 963.36 and 638.82

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Solution

The fourth proportional to 645.71, 963.36 and 638.82 is: 953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.71 : 963.36 = 638.82 : x
  2. Step 2: Convert to fraction form
    645.71/963.36 = 638.82/x
  3. Step 3: Cross multiply
    645.71x = 963.36 × 638.82
  4. Step 4: Simplify right side
    645.71x = 615,413.64
  5. Step 5: Solve for x
    x = 615,413.64/645.71
  6. Step 6: Final answer
    x = 953.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.