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Finding the Fourth Proportional to 936.86, 1,403.41 and 466.92

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Solution

The fourth proportional to 936.86, 1,403.41 and 466.92 is: 699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.86 : 1,403.41 = 466.92 : x
  2. Step 2: Convert to fraction form
    936.86/1,403.41 = 466.92/x
  3. Step 3: Cross multiply
    936.86x = 1,403.41 × 466.92
  4. Step 4: Simplify right side
    936.86x = 655,280.20
  5. Step 5: Solve for x
    x = 655,280.20/936.86
  6. Step 6: Final answer
    x = 699.44

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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.