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Finding the Fourth Proportional to 797.61, 1,195.24 and 566.94

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Solution

The fourth proportional to 797.61, 1,195.24 and 566.94 is: 849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.61 : 1,195.24 = 566.94 : x
  2. Step 2: Convert to fraction form
    797.61/1,195.24 = 566.94/x
  3. Step 3: Cross multiply
    797.61x = 1,195.24 × 566.94
  4. Step 4: Simplify right side
    797.61x = 677,629.37
  5. Step 5: Solve for x
    x = 677,629.37/797.61
  6. Step 6: Final answer
    x = 849.57

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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.