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Finding the Fourth Proportional to 794.80, 1,097.22 and 533.08

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Solution

The fourth proportional to 794.80, 1,097.22 and 533.08 is: 735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.80 : 1,097.22 = 533.08 : x
  2. Step 2: Convert to fraction form
    794.80/1,097.22 = 533.08/x
  3. Step 3: Cross multiply
    794.80x = 1,097.22 × 533.08
  4. Step 4: Simplify right side
    794.80x = 584,906.04
  5. Step 5: Solve for x
    x = 584,906.04/794.80
  6. Step 6: Final answer
    x = 735.92

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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.