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Finding the Fourth Proportional to 1,449.54, 2,174.49 and 475.74

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Solution

The fourth proportional to 1,449.54, 2,174.49 and 475.74 is: 713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.54 : 2,174.49 = 475.74 : x
  2. Step 2: Convert to fraction form
    1,449.54/2,174.49 = 475.74/x
  3. Step 3: Cross multiply
    1,449.54x = 2,174.49 × 475.74
  4. Step 4: Simplify right side
    1,449.54x = 1,034,491.87
  5. Step 5: Solve for x
    x = 1,034,491.87/1,449.54
  6. Step 6: Final answer
    x = 713.67

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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.