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Finding the Fourth Proportional to 796.90, 1,193.64 and 580

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Solution

The fourth proportional to 796.90, 1,193.64 and 580 is: 868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.90 : 1,193.64 = 580 : x
  2. Step 2: Convert to fraction form
    796.90/1,193.64 = 580/x
  3. Step 3: Cross multiply
    796.90x = 1,193.64 × 580
  4. Step 4: Simplify right side
    796.90x = 692,311.20
  5. Step 5: Solve for x
    x = 692,311.20/796.90
  6. Step 6: Final answer
    x = 868.76

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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.