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Finding the Fourth Proportional to 933.11, 1,399.67 and 283.85

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Solution

The fourth proportional to 933.11, 1,399.67 and 283.85 is: 425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.11 : 1,399.67 = 283.85 : x
  2. Step 2: Convert to fraction form
    933.11/1,399.67 = 283.85/x
  3. Step 3: Cross multiply
    933.11x = 1,399.67 × 283.85
  4. Step 4: Simplify right side
    933.11x = 397,294.91
  5. Step 5: Solve for x
    x = 397,294.91/933.11
  6. Step 6: Final answer
    x = 425.78

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Why These Related Problems?

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