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Finding the Fourth Proportional to 796.16, 1,197.28 and 565.76

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Solution

The fourth proportional to 796.16, 1,197.28 and 565.76 is: 850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.16 : 1,197.28 = 565.76 : x
  2. Step 2: Convert to fraction form
    796.16/1,197.28 = 565.76/x
  3. Step 3: Cross multiply
    796.16x = 1,197.28 × 565.76
  4. Step 4: Simplify right side
    796.16x = 677,373.13
  5. Step 5: Solve for x
    x = 677,373.13/796.16
  6. Step 6: Final answer
    x = 850.80

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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.