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Finding the Fourth Proportional to 1,194.24, 1,791.06 and 535.75

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Solution

The fourth proportional to 1,194.24, 1,791.06 and 535.75 is: 803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.24 : 1,791.06 = 535.75 : x
  2. Step 2: Convert to fraction form
    1,194.24/1,791.06 = 535.75/x
  3. Step 3: Cross multiply
    1,194.24x = 1,791.06 × 535.75
  4. Step 4: Simplify right side
    1,194.24x = 959,560.40
  5. Step 5: Solve for x
    x = 959,560.40/1,194.24
  6. Step 6: Final answer
    x = 803.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.