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Finding the Fourth Proportional to 655.25, 975.13 and 633.38

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Solution

The fourth proportional to 655.25, 975.13 and 633.38 is: 942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.25 : 975.13 = 633.38 : x
  2. Step 2: Convert to fraction form
    655.25/975.13 = 633.38/x
  3. Step 3: Cross multiply
    655.25x = 975.13 × 633.38
  4. Step 4: Simplify right side
    655.25x = 617,624.94
  5. Step 5: Solve for x
    x = 617,624.94/655.25
  6. Step 6: Final answer
    x = 942.59

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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.