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Finding the Fourth Proportional to 936.35, 1,405.57 and 546.81

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Solution

The fourth proportional to 936.35, 1,405.57 and 546.81 is: 820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.35 : 1,405.57 = 546.81 : x
  2. Step 2: Convert to fraction form
    936.35/1,405.57 = 546.81/x
  3. Step 3: Cross multiply
    936.35x = 1,405.57 × 546.81
  4. Step 4: Simplify right side
    936.35x = 768,579.73
  5. Step 5: Solve for x
    x = 768,579.73/936.35
  6. Step 6: Final answer
    x = 820.83

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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.