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Finding the Fourth Proportional to 933.06, 1,286.64 and 800.76

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Solution

The fourth proportional to 933.06, 1,286.64 and 800.76 is: 1,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.06 : 1,286.64 = 800.76 : x
  2. Step 2: Convert to fraction form
    933.06/1,286.64 = 800.76/x
  3. Step 3: Cross multiply
    933.06x = 1,286.64 × 800.76
  4. Step 4: Simplify right side
    933.06x = 1,030,289.85
  5. Step 5: Solve for x
    x = 1,030,289.85/933.06
  6. Step 6: Final answer
    x = 1,104.21

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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.