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Finding the Fourth Proportional to 893.62, 1,233.65 and 599.39

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Solution

The fourth proportional to 893.62, 1,233.65 and 599.39 is: 827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.62 : 1,233.65 = 599.39 : x
  2. Step 2: Convert to fraction form
    893.62/1,233.65 = 599.39/x
  3. Step 3: Cross multiply
    893.62x = 1,233.65 × 599.39
  4. Step 4: Simplify right side
    893.62x = 739,432.80
  5. Step 5: Solve for x
    x = 739,432.80/893.62
  6. Step 6: Final answer
    x = 827.46

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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.