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Finding the Fourth Proportional to 1,169.24, 1,754.16 and 438.83

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Solution

The fourth proportional to 1,169.24, 1,754.16 and 438.83 is: 658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.24 : 1,754.16 = 438.83 : x
  2. Step 2: Convert to fraction form
    1,169.24/1,754.16 = 438.83/x
  3. Step 3: Cross multiply
    1,169.24x = 1,754.16 × 438.83
  4. Step 4: Simplify right side
    1,169.24x = 769,769.26
  5. Step 5: Solve for x
    x = 769,769.26/1,169.24
  6. Step 6: Final answer
    x = 658.35

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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.