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Finding the Fourth Proportional to 894.69, 1,234.37 and 540.48

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Solution

The fourth proportional to 894.69, 1,234.37 and 540.48 is: 745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.69 : 1,234.37 = 540.48 : x
  2. Step 2: Convert to fraction form
    894.69/1,234.37 = 540.48/x
  3. Step 3: Cross multiply
    894.69x = 1,234.37 × 540.48
  4. Step 4: Simplify right side
    894.69x = 667,149.60
  5. Step 5: Solve for x
    x = 667,149.60/894.69
  6. Step 6: Final answer
    x = 745.68

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Double scale
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1.5x scale

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.