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Finding the Fourth Proportional to 1,406.62, 2,109.39 and 481.87

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Solution

The fourth proportional to 1,406.62, 2,109.39 and 481.87 is: 722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.62 : 2,109.39 = 481.87 : x
  2. Step 2: Convert to fraction form
    1,406.62/2,109.39 = 481.87/x
  3. Step 3: Cross multiply
    1,406.62x = 2,109.39 × 481.87
  4. Step 4: Simplify right side
    1,406.62x = 1,016,451.76
  5. Step 5: Solve for x
    x = 1,016,451.76/1,406.62
  6. Step 6: Final answer
    x = 722.62

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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.