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Finding the Fourth Proportional to 933.69, 1,286.99 and 634.85

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Solution

The fourth proportional to 933.69, 1,286.99 and 634.85 is: 875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.69 : 1,286.99 = 634.85 : x
  2. Step 2: Convert to fraction form
    933.69/1,286.99 = 634.85/x
  3. Step 3: Cross multiply
    933.69x = 1,286.99 × 634.85
  4. Step 4: Simplify right side
    933.69x = 817,035.99
  5. Step 5: Solve for x
    x = 817,035.99/933.69
  6. Step 6: Final answer
    x = 875.06

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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.