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Finding the Fourth Proportional to 793.41, 1,094.36 and 571.88

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Solution

The fourth proportional to 793.41, 1,094.36 and 571.88 is: 788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.41 : 1,094.36 = 571.88 : x
  2. Step 2: Convert to fraction form
    793.41/1,094.36 = 571.88/x
  3. Step 3: Cross multiply
    793.41x = 1,094.36 × 571.88
  4. Step 4: Simplify right side
    793.41x = 625,834.27
  5. Step 5: Solve for x
    x = 625,834.27/793.41
  6. Step 6: Final answer
    x = 788.79

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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.