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Finding the Fourth Proportional to 1,336.80, 2,005.92 and 850.08

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Solution

The fourth proportional to 1,336.80, 2,005.92 and 850.08 is: 1,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.80 : 2,005.92 = 850.08 : x
  2. Step 2: Convert to fraction form
    1,336.80/2,005.92 = 850.08/x
  3. Step 3: Cross multiply
    1,336.80x = 2,005.92 × 850.08
  4. Step 4: Simplify right side
    1,336.80x = 1,705,192.47
  5. Step 5: Solve for x
    x = 1,705,192.47/1,336.80
  6. Step 6: Final answer
    x = 1,275.58

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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.