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Finding the Fourth Proportional to 1,164.72, 1,747.09 and 299.04

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Solution

The fourth proportional to 1,164.72, 1,747.09 and 299.04 is: 448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.72 : 1,747.09 = 299.04 : x
  2. Step 2: Convert to fraction form
    1,164.72/1,747.09 = 299.04/x
  3. Step 3: Cross multiply
    1,164.72x = 1,747.09 × 299.04
  4. Step 4: Simplify right side
    1,164.72x = 522,449.79
  5. Step 5: Solve for x
    x = 522,449.79/1,164.72
  6. Step 6: Final answer
    x = 448.56

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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.