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Finding the Fourth Proportional to 797.92, 1,197.02 and 365.06

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Solution

The fourth proportional to 797.92, 1,197.02 and 365.06 is: 547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.92 : 1,197.02 = 365.06 : x
  2. Step 2: Convert to fraction form
    797.92/1,197.02 = 365.06/x
  3. Step 3: Cross multiply
    797.92x = 1,197.02 × 365.06
  4. Step 4: Simplify right side
    797.92x = 436,988.03
  5. Step 5: Solve for x
    x = 436,988.03/797.92
  6. Step 6: Final answer
    x = 547.66

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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.