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Finding the Fourth Proportional to 893.29, 1,233.48 and 613.42

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Solution

The fourth proportional to 893.29, 1,233.48 and 613.42 is: 847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.29 : 1,233.48 = 613.42 : x
  2. Step 2: Convert to fraction form
    893.29/1,233.48 = 613.42/x
  3. Step 3: Cross multiply
    893.29x = 1,233.48 × 613.42
  4. Step 4: Simplify right side
    893.29x = 756,641.30
  5. Step 5: Solve for x
    x = 756,641.30/893.29
  6. Step 6: Final answer
    x = 847.03

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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.