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Finding the Fourth Proportional to 794.75, 1,095.26 and 573.31

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Solution

The fourth proportional to 794.75, 1,095.26 and 573.31 is: 790.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.75 : 1,095.26 = 573.31 : x
  2. Step 2: Convert to fraction form
    794.75/1,095.26 = 573.31/x
  3. Step 3: Cross multiply
    794.75x = 1,095.26 × 573.31
  4. Step 4: Simplify right side
    794.75x = 627,922.01
  5. Step 5: Solve for x
    x = 627,922.01/794.75
  6. Step 6: Final answer
    x = 790.09

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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.