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Finding the Fourth Proportional to 797.20, 1,193.76 and 576.92

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Solution

The fourth proportional to 797.20, 1,193.76 and 576.92 is: 863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.20 : 1,193.76 = 576.92 : x
  2. Step 2: Convert to fraction form
    797.20/1,193.76 = 576.92/x
  3. Step 3: Cross multiply
    797.20x = 1,193.76 × 576.92
  4. Step 4: Simplify right side
    797.20x = 688,707.00
  5. Step 5: Solve for x
    x = 688,707.00/797.20
  6. Step 6: Final answer
    x = 863.91

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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.