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Finding the Fourth Proportional to 894.61, 1,233.63 and 600.28

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Solution

The fourth proportional to 894.61, 1,233.63 and 600.28 is: 827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.61 : 1,233.63 = 600.28 : x
  2. Step 2: Convert to fraction form
    894.61/1,233.63 = 600.28/x
  3. Step 3: Cross multiply
    894.61x = 1,233.63 × 600.28
  4. Step 4: Simplify right side
    894.61x = 740,523.42
  5. Step 5: Solve for x
    x = 740,523.42/894.61
  6. Step 6: Final answer
    x = 827.76

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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.