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Finding the Fourth Proportional to 797.20, 1,099.80 and 575.66

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Solution

The fourth proportional to 797.20, 1,099.80 and 575.66 is: 794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.20 : 1,099.80 = 575.66 : x
  2. Step 2: Convert to fraction form
    797.20/1,099.80 = 575.66/x
  3. Step 3: Cross multiply
    797.20x = 1,099.80 × 575.66
  4. Step 4: Simplify right side
    797.20x = 633,110.87
  5. Step 5: Solve for x
    x = 633,110.87/797.20
  6. Step 6: Final answer
    x = 794.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.