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Finding the Fourth Proportional to 1,467.08, 2,199.39 and 686.69

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Solution

The fourth proportional to 1,467.08, 2,199.39 and 686.69 is: 1,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.08 : 2,199.39 = 686.69 : x
  2. Step 2: Convert to fraction form
    1,467.08/2,199.39 = 686.69/x
  3. Step 3: Cross multiply
    1,467.08x = 2,199.39 × 686.69
  4. Step 4: Simplify right side
    1,467.08x = 1,510,288.12
  5. Step 5: Solve for x
    x = 1,510,288.12/1,467.08
  6. Step 6: Final answer
    x = 1,029.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.