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Finding the Fourth Proportional to 936.05, 1,402.26 and 523.93

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Solution

The fourth proportional to 936.05, 1,402.26 and 523.93 is: 784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.05 : 1,402.26 = 523.93 : x
  2. Step 2: Convert to fraction form
    936.05/1,402.26 = 523.93/x
  3. Step 3: Cross multiply
    936.05x = 1,402.26 × 523.93
  4. Step 4: Simplify right side
    936.05x = 734,682.58
  5. Step 5: Solve for x
    x = 734,682.58/936.05
  6. Step 6: Final answer
    x = 784.88

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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.