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Finding the Fourth Proportional to 933.04, 1,286.22 and 773.74

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Solution

The fourth proportional to 933.04, 1,286.22 and 773.74 is: 1,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.04 : 1,286.22 = 773.74 : x
  2. Step 2: Convert to fraction form
    933.04/1,286.22 = 773.74/x
  3. Step 3: Cross multiply
    933.04x = 1,286.22 × 773.74
  4. Step 4: Simplify right side
    933.04x = 995,199.86
  5. Step 5: Solve for x
    x = 995,199.86/933.04
  6. Step 6: Final answer
    x = 1,066.62

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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.