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Finding the Fourth Proportional to 936.20, 1,404.30 and 657.80

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Solution

The fourth proportional to 936.20, 1,404.30 and 657.80 is: 986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.20 : 1,404.30 = 657.80 : x
  2. Step 2: Convert to fraction form
    936.20/1,404.30 = 657.80/x
  3. Step 3: Cross multiply
    936.20x = 1,404.30 × 657.80
  4. Step 4: Simplify right side
    936.20x = 923,748.54
  5. Step 5: Solve for x
    x = 923,748.54/936.20
  6. Step 6: Final answer
    x = 986.70

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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.