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Finding the Fourth Proportional to 933.14, 1,399.73 and 283.91

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Solution

The fourth proportional to 933.14, 1,399.73 and 283.91 is: 425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.14 : 1,399.73 = 283.91 : x
  2. Step 2: Convert to fraction form
    933.14/1,399.73 = 283.91/x
  3. Step 3: Cross multiply
    933.14x = 1,399.73 × 283.91
  4. Step 4: Simplify right side
    933.14x = 397,388.93
  5. Step 5: Solve for x
    x = 397,388.93/933.14
  6. Step 6: Final answer
    x = 425.86

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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.