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Finding the Fourth Proportional to 797.24, 1,195.88 and 284.24

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Solution

The fourth proportional to 797.24, 1,195.88 and 284.24 is: 426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.24 : 1,195.88 = 284.24 : x
  2. Step 2: Convert to fraction form
    797.24/1,195.88 = 284.24/x
  3. Step 3: Cross multiply
    797.24x = 1,195.88 × 284.24
  4. Step 4: Simplify right side
    797.24x = 339,916.93
  5. Step 5: Solve for x
    x = 339,916.93/797.24
  6. Step 6: Final answer
    x = 426.37

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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.