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Finding the Fourth Proportional to 1,807.82, 2,711.16 and 711.88

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Solution

The fourth proportional to 1,807.82, 2,711.16 and 711.88 is: 1,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.82 : 2,711.16 = 711.88 : x
  2. Step 2: Convert to fraction form
    1,807.82/2,711.16 = 711.88/x
  3. Step 3: Cross multiply
    1,807.82x = 2,711.16 × 711.88
  4. Step 4: Simplify right side
    1,807.82x = 1,930,020.58
  5. Step 5: Solve for x
    x = 1,930,020.58/1,807.82
  6. Step 6: Final answer
    x = 1,067.60

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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.