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Finding the Fourth Proportional to 1,340.72, 2,011 and 474.96

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Solution

The fourth proportional to 1,340.72, 2,011 and 474.96 is: 712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.72 : 2,011 = 474.96 : x
  2. Step 2: Convert to fraction form
    1,340.72/2,011 = 474.96/x
  3. Step 3: Cross multiply
    1,340.72x = 2,011 × 474.96
  4. Step 4: Simplify right side
    1,340.72x = 955,144.56
  5. Step 5: Solve for x
    x = 955,144.56/1,340.72
  6. Step 6: Final answer
    x = 712.41

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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.