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Finding the Fourth Proportional to 894.40, 1,234.76 and 540.38

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Solution

The fourth proportional to 894.40, 1,234.76 and 540.38 is: 746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.40 : 1,234.76 = 540.38 : x
  2. Step 2: Convert to fraction form
    894.40/1,234.76 = 540.38/x
  3. Step 3: Cross multiply
    894.40x = 1,234.76 × 540.38
  4. Step 4: Simplify right side
    894.40x = 667,239.99
  5. Step 5: Solve for x
    x = 667,239.99/894.40
  6. Step 6: Final answer
    x = 746.02

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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.