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Finding the Fourth Proportional to 1,183.87, 1,776.31 and 491.04

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Solution

The fourth proportional to 1,183.87, 1,776.31 and 491.04 is: 736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.87 : 1,776.31 = 491.04 : x
  2. Step 2: Convert to fraction form
    1,183.87/1,776.31 = 491.04/x
  3. Step 3: Cross multiply
    1,183.87x = 1,776.31 × 491.04
  4. Step 4: Simplify right side
    1,183.87x = 872,239.26
  5. Step 5: Solve for x
    x = 872,239.26/1,183.87
  6. Step 6: Final answer
    x = 736.77

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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.