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Finding the Fourth Proportional to 797.59, 1,196.40 and 220.46

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Solution

The fourth proportional to 797.59, 1,196.40 and 220.46 is: 330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.59 : 1,196.40 = 220.46 : x
  2. Step 2: Convert to fraction form
    797.59/1,196.40 = 220.46/x
  3. Step 3: Cross multiply
    797.59x = 1,196.40 × 220.46
  4. Step 4: Simplify right side
    797.59x = 263,758.34
  5. Step 5: Solve for x
    x = 263,758.34/797.59
  6. Step 6: Final answer
    x = 330.70

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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.