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Finding the Fourth Proportional to 894.57, 1,234.47 and 540.80

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Solution

The fourth proportional to 894.57, 1,234.47 and 540.80 is: 746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.57 : 1,234.47 = 540.80 : x
  2. Step 2: Convert to fraction form
    894.57/1,234.47 = 540.80/x
  3. Step 3: Cross multiply
    894.57x = 1,234.47 × 540.80
  4. Step 4: Simplify right side
    894.57x = 667,601.38
  5. Step 5: Solve for x
    x = 667,601.38/894.57
  6. Step 6: Final answer
    x = 746.28

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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.