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Finding the Fourth Proportional to 792.75, 1,094 and 531.39

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Solution

The fourth proportional to 792.75, 1,094 and 531.39 is: 733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.75 : 1,094 = 531.39 : x
  2. Step 2: Convert to fraction form
    792.75/1,094 = 531.39/x
  3. Step 3: Cross multiply
    792.75x = 1,094 × 531.39
  4. Step 4: Simplify right side
    792.75x = 581,340.66
  5. Step 5: Solve for x
    x = 581,340.66/792.75
  6. Step 6: Final answer
    x = 733.32

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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.