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Finding the Fourth Proportional to 1,165.91, 1,749.47 and 473.09

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Solution

The fourth proportional to 1,165.91, 1,749.47 and 473.09 is: 709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.91 : 1,749.47 = 473.09 : x
  2. Step 2: Convert to fraction form
    1,165.91/1,749.47 = 473.09/x
  3. Step 3: Cross multiply
    1,165.91x = 1,749.47 × 473.09
  4. Step 4: Simplify right side
    1,165.91x = 827,645.65
  5. Step 5: Solve for x
    x = 827,645.65/1,165.91
  6. Step 6: Final answer
    x = 709.87

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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.