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Finding the Fourth Proportional to 793.77, 1,188.36 and 599.57

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Solution

The fourth proportional to 793.77, 1,188.36 and 599.57 is: 897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.77 : 1,188.36 = 599.57 : x
  2. Step 2: Convert to fraction form
    793.77/1,188.36 = 599.57/x
  3. Step 3: Cross multiply
    793.77x = 1,188.36 × 599.57
  4. Step 4: Simplify right side
    793.77x = 712,507.98
  5. Step 5: Solve for x
    x = 712,507.98/793.77
  6. Step 6: Final answer
    x = 897.63

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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.