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Finding the Fourth Proportional to 797.79, 1,196.53 and 758.24

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Solution

The fourth proportional to 797.79, 1,196.53 and 758.24 is: 1,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.79 : 1,196.53 = 758.24 : x
  2. Step 2: Convert to fraction form
    797.79/1,196.53 = 758.24/x
  3. Step 3: Cross multiply
    797.79x = 1,196.53 × 758.24
  4. Step 4: Simplify right side
    797.79x = 907,255.82
  5. Step 5: Solve for x
    x = 907,255.82/797.79
  6. Step 6: Final answer
    x = 1,137.20

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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.