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Finding the Fourth Proportional to 797.10, 1,195.68 and 284.10

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Solution

The fourth proportional to 797.10, 1,195.68 and 284.10 is: 426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.10 : 1,195.68 = 284.10 : x
  2. Step 2: Convert to fraction form
    797.10/1,195.68 = 284.10/x
  3. Step 3: Cross multiply
    797.10x = 1,195.68 × 284.10
  4. Step 4: Simplify right side
    797.10x = 339,692.69
  5. Step 5: Solve for x
    x = 339,692.69/797.10
  6. Step 6: Final answer
    x = 426.16

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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.