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Finding the Fourth Proportional to 793.07, 1,191.43 and 562.53

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Solution

The fourth proportional to 793.07, 1,191.43 and 562.53 is: 845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.07 : 1,191.43 = 562.53 : x
  2. Step 2: Convert to fraction form
    793.07/1,191.43 = 562.53/x
  3. Step 3: Cross multiply
    793.07x = 1,191.43 × 562.53
  4. Step 4: Simplify right side
    793.07x = 670,215.12
  5. Step 5: Solve for x
    x = 670,215.12/793.07
  6. Step 6: Final answer
    x = 845.09

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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.