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Finding the Fourth Proportional to 797.22, 1,099.89 and 517.80

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Solution

The fourth proportional to 797.22, 1,099.89 and 517.80 is: 714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.22 : 1,099.89 = 517.80 : x
  2. Step 2: Convert to fraction form
    797.22/1,099.89 = 517.80/x
  3. Step 3: Cross multiply
    797.22x = 1,099.89 × 517.80
  4. Step 4: Simplify right side
    797.22x = 569,527.17
  5. Step 5: Solve for x
    x = 569,527.17/797.22
  6. Step 6: Final answer
    x = 714.39

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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.