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Finding the Fourth Proportional to 1,465.31, 2,198.78 and 772.09

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Solution

The fourth proportional to 1,465.31, 2,198.78 and 772.09 is: 1,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.31 : 2,198.78 = 772.09 : x
  2. Step 2: Convert to fraction form
    1,465.31/2,198.78 = 772.09/x
  3. Step 3: Cross multiply
    1,465.31x = 2,198.78 × 772.09
  4. Step 4: Simplify right side
    1,465.31x = 1,697,656.05
  5. Step 5: Solve for x
    x = 1,697,656.05/1,465.31
  6. Step 6: Final answer
    x = 1,158.56

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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.