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Finding the Fourth Proportional to 1,205.11, 1,807.67 and 691.75

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Solution

The fourth proportional to 1,205.11, 1,807.67 and 691.75 is: 1,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.11 : 1,807.67 = 691.75 : x
  2. Step 2: Convert to fraction form
    1,205.11/1,807.67 = 691.75/x
  3. Step 3: Cross multiply
    1,205.11x = 1,807.67 × 691.75
  4. Step 4: Simplify right side
    1,205.11x = 1,250,455.72
  5. Step 5: Solve for x
    x = 1,250,455.72/1,205.11
  6. Step 6: Final answer
    x = 1,037.63

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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.