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Finding the Fourth Proportional to 797, 1,099.80 and 447.72

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Solution

The fourth proportional to 797, 1,099.80 and 447.72 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    797 : 1,099.80 = 447.72 : x
  2. Step 2: Convert to fraction form
    797/1,099.80 = 447.72/x
  3. Step 3: Cross multiply
    797x = 1,099.80 × 447.72
  4. Step 4: Simplify right side
    797x = 492,402.46
  5. Step 5: Solve for x
    x = 492,402.46/797
  6. Step 6: Final answer
    x = 617.82

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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.