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Finding the Fourth Proportional to 797.16, 1,196.28 and 412.68

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Solution

The fourth proportional to 797.16, 1,196.28 and 412.68 is: 619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.16 : 1,196.28 = 412.68 : x
  2. Step 2: Convert to fraction form
    797.16/1,196.28 = 412.68/x
  3. Step 3: Cross multiply
    797.16x = 1,196.28 × 412.68
  4. Step 4: Simplify right side
    797.16x = 493,680.83
  5. Step 5: Solve for x
    x = 493,680.83/797.16
  6. Step 6: Final answer
    x = 619.30

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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.