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Finding the Fourth Proportional to 943.74, 1,413.16 and 757.78

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Solution

The fourth proportional to 943.74, 1,413.16 and 757.78 is: 1,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.74 : 1,413.16 = 757.78 : x
  2. Step 2: Convert to fraction form
    943.74/1,413.16 = 757.78/x
  3. Step 3: Cross multiply
    943.74x = 1,413.16 × 757.78
  4. Step 4: Simplify right side
    943.74x = 1,070,864.38
  5. Step 5: Solve for x
    x = 1,070,864.38/943.74
  6. Step 6: Final answer
    x = 1,134.70

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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.