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Finding the Fourth Proportional to 936.60, 1,407.60 and 817.80

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Solution

The fourth proportional to 936.60, 1,407.60 and 817.80 is: 1,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.60 : 1,407.60 = 817.80 : x
  2. Step 2: Convert to fraction form
    936.60/1,407.60 = 817.80/x
  3. Step 3: Cross multiply
    936.60x = 1,407.60 × 817.80
  4. Step 4: Simplify right side
    936.60x = 1,151,135.28
  5. Step 5: Solve for x
    x = 1,151,135.28/936.60
  6. Step 6: Final answer
    x = 1,229.06

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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.