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Finding the Fourth Proportional to 800.74, 1,192.83 and 776.56

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Solution

The fourth proportional to 800.74, 1,192.83 and 776.56 is: 1,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.74 : 1,192.83 = 776.56 : x
  2. Step 2: Convert to fraction form
    800.74/1,192.83 = 776.56/x
  3. Step 3: Cross multiply
    800.74x = 1,192.83 × 776.56
  4. Step 4: Simplify right side
    800.74x = 926,304.06
  5. Step 5: Solve for x
    x = 926,304.06/800.74
  6. Step 6: Final answer
    x = 1,156.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.