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Finding the Fourth Proportional to 1,465.96, 2,198.94 and 685.96

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Solution

The fourth proportional to 1,465.96, 2,198.94 and 685.96 is: 1,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.96 : 2,198.94 = 685.96 : x
  2. Step 2: Convert to fraction form
    1,465.96/2,198.94 = 685.96/x
  3. Step 3: Cross multiply
    1,465.96x = 2,198.94 × 685.96
  4. Step 4: Simplify right side
    1,465.96x = 1,508,384.88
  5. Step 5: Solve for x
    x = 1,508,384.88/1,465.96
  6. Step 6: Final answer
    x = 1,028.94

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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.