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Finding the Fourth Proportional to 797.12, 1,099.80 and 465.56

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Solution

The fourth proportional to 797.12, 1,099.80 and 465.56 is: 642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.12 : 1,099.80 = 465.56 : x
  2. Step 2: Convert to fraction form
    797.12/1,099.80 = 465.56/x
  3. Step 3: Cross multiply
    797.12x = 1,099.80 × 465.56
  4. Step 4: Simplify right side
    797.12x = 512,022.89
  5. Step 5: Solve for x
    x = 512,022.89/797.12
  6. Step 6: Final answer
    x = 642.34

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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.