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Finding the Fourth Proportional to 690.57, 1,035.96 and 251.85

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Solution

The fourth proportional to 690.57, 1,035.96 and 251.85 is: 377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.57 : 1,035.96 = 251.85 : x
  2. Step 2: Convert to fraction form
    690.57/1,035.96 = 251.85/x
  3. Step 3: Cross multiply
    690.57x = 1,035.96 × 251.85
  4. Step 4: Simplify right side
    690.57x = 260,906.53
  5. Step 5: Solve for x
    x = 260,906.53/690.57
  6. Step 6: Final answer
    x = 377.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.