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Finding the Fourth Proportional to 1,205.73, 1,808.64 and 711.90

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Solution

The fourth proportional to 1,205.73, 1,808.64 and 711.90 is: 1,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.73 : 1,808.64 = 711.90 : x
  2. Step 2: Convert to fraction form
    1,205.73/1,808.64 = 711.90/x
  3. Step 3: Cross multiply
    1,205.73x = 1,808.64 × 711.90
  4. Step 4: Simplify right side
    1,205.73x = 1,287,570.82
  5. Step 5: Solve for x
    x = 1,287,570.82/1,205.73
  6. Step 6: Final answer
    x = 1,067.88

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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.