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Finding the Fourth Proportional to 1,476.82, 2,214.02 and 696.44

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Solution

The fourth proportional to 1,476.82, 2,214.02 and 696.44 is: 1,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.82 : 2,214.02 = 696.44 : x
  2. Step 2: Convert to fraction form
    1,476.82/2,214.02 = 696.44/x
  3. Step 3: Cross multiply
    1,476.82x = 2,214.02 × 696.44
  4. Step 4: Simplify right side
    1,476.82x = 1,541,932.09
  5. Step 5: Solve for x
    x = 1,541,932.09/1,476.82
  6. Step 6: Final answer
    x = 1,044.09

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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.