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Finding the Fourth Proportional to 933.29, 1,286.60 and 667.65

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Solution

The fourth proportional to 933.29, 1,286.60 and 667.65 is: 920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.29 : 1,286.60 = 667.65 : x
  2. Step 2: Convert to fraction form
    933.29/1,286.60 = 667.65/x
  3. Step 3: Cross multiply
    933.29x = 1,286.60 × 667.65
  4. Step 4: Simplify right side
    933.29x = 858,995.15
  5. Step 5: Solve for x
    x = 858,995.15/933.29
  6. Step 6: Final answer
    x = 920.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.