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Finding the Fourth Proportional to 936.85, 1,404.77 and 781.94

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Solution

The fourth proportional to 936.85, 1,404.77 and 781.94 is: 1,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.85 : 1,404.77 = 781.94 : x
  2. Step 2: Convert to fraction form
    936.85/1,404.77 = 781.94/x
  3. Step 3: Cross multiply
    936.85x = 1,404.77 × 781.94
  4. Step 4: Simplify right side
    936.85x = 1,098,434.92
  5. Step 5: Solve for x
    x = 1,098,434.92/936.85
  6. Step 6: Final answer
    x = 1,172.48

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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.