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Finding the Fourth Proportional to 1,353.24, 2,029.86 and 475.65

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Solution

The fourth proportional to 1,353.24, 2,029.86 and 475.65 is: 713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.24 : 2,029.86 = 475.65 : x
  2. Step 2: Convert to fraction form
    1,353.24/2,029.86 = 475.65/x
  3. Step 3: Cross multiply
    1,353.24x = 2,029.86 × 475.65
  4. Step 4: Simplify right side
    1,353.24x = 965,502.91
  5. Step 5: Solve for x
    x = 965,502.91/1,353.24
  6. Step 6: Final answer
    x = 713.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.