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Finding the Fourth Proportional to 793.71, 1,193.00 and 776.70

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Solution

The fourth proportional to 793.71, 1,193.00 and 776.70 is: 1,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.71 : 1,193.00 = 776.70 : x
  2. Step 2: Convert to fraction form
    793.71/1,193.00 = 776.70/x
  3. Step 3: Cross multiply
    793.71x = 1,193.00 × 776.70
  4. Step 4: Simplify right side
    793.71x = 926,599.22
  5. Step 5: Solve for x
    x = 926,599.22/793.71
  6. Step 6: Final answer
    x = 1,167.43

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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.