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Finding the Fourth Proportional to 613.52, 923.74 and 540.87

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Solution

The fourth proportional to 613.52, 923.74 and 540.87 is: 814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.52 : 923.74 = 540.87 : x
  2. Step 2: Convert to fraction form
    613.52/923.74 = 540.87/x
  3. Step 3: Cross multiply
    613.52x = 923.74 × 540.87
  4. Step 4: Simplify right side
    613.52x = 499,617.96
  5. Step 5: Solve for x
    x = 499,617.96/613.52
  6. Step 6: Final answer
    x = 814.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.