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Finding the Fourth Proportional to 1,341.56, 2,012.34 and 475.88

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Solution

The fourth proportional to 1,341.56, 2,012.34 and 475.88 is: 713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.56 : 2,012.34 = 475.88 : x
  2. Step 2: Convert to fraction form
    1,341.56/2,012.34 = 475.88/x
  3. Step 3: Cross multiply
    1,341.56x = 2,012.34 × 475.88
  4. Step 4: Simplify right side
    1,341.56x = 957,624.08
  5. Step 5: Solve for x
    x = 957,624.08/1,341.56
  6. Step 6: Final answer
    x = 713.81

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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.