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Finding the Fourth Proportional to 1,866.05, 2,799.14 and 696.35

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Solution

The fourth proportional to 1,866.05, 2,799.14 and 696.35 is: 1,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.05 : 2,799.14 = 696.35 : x
  2. Step 2: Convert to fraction form
    1,866.05/2,799.14 = 696.35/x
  3. Step 3: Cross multiply
    1,866.05x = 2,799.14 × 696.35
  4. Step 4: Simplify right side
    1,866.05x = 1,949,163.66
  5. Step 5: Solve for x
    x = 1,949,163.66/1,866.05
  6. Step 6: Final answer
    x = 1,044.54

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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.