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Finding the Fourth Proportional to 1,406.46, 2,109.78 and 481.77

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Solution

The fourth proportional to 1,406.46, 2,109.78 and 481.77 is: 722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.46 : 2,109.78 = 481.77 : x
  2. Step 2: Convert to fraction form
    1,406.46/2,109.78 = 481.77/x
  3. Step 3: Cross multiply
    1,406.46x = 2,109.78 × 481.77
  4. Step 4: Simplify right side
    1,406.46x = 1,016,428.71
  5. Step 5: Solve for x
    x = 1,016,428.71/1,406.46
  6. Step 6: Final answer
    x = 722.69

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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.