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Finding the Fourth Proportional to 625.60, 937.23 and 523.54

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Solution

The fourth proportional to 625.60, 937.23 and 523.54 is: 784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.60 : 937.23 = 523.54 : x
  2. Step 2: Convert to fraction form
    625.60/937.23 = 523.54/x
  3. Step 3: Cross multiply
    625.60x = 937.23 × 523.54
  4. Step 4: Simplify right side
    625.60x = 490,677.39
  5. Step 5: Solve for x
    x = 490,677.39/625.60
  6. Step 6: Final answer
    x = 784.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.