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Finding the Fourth Proportional to 797.98, 1,197.23 and 387.16

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Solution

The fourth proportional to 797.98, 1,197.23 and 387.16 is: 580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.98 : 1,197.23 = 387.16 : x
  2. Step 2: Convert to fraction form
    797.98/1,197.23 = 387.16/x
  3. Step 3: Cross multiply
    797.98x = 1,197.23 × 387.16
  4. Step 4: Simplify right side
    797.98x = 463,519.57
  5. Step 5: Solve for x
    x = 463,519.57/797.98
  6. Step 6: Final answer
    x = 580.87

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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.