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Finding the Fourth Proportional to 895.26, 1,233.98 and 600.42

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Solution

The fourth proportional to 895.26, 1,233.98 and 600.42 is: 827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.26 : 1,233.98 = 600.42 : x
  2. Step 2: Convert to fraction form
    895.26/1,233.98 = 600.42/x
  3. Step 3: Cross multiply
    895.26x = 1,233.98 × 600.42
  4. Step 4: Simplify right side
    895.26x = 740,906.27
  5. Step 5: Solve for x
    x = 740,906.27/895.26
  6. Step 6: Final answer
    x = 827.59

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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.