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Finding the Fourth Proportional to 1,183.75, 1,776.44 and 414.25

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Solution

The fourth proportional to 1,183.75, 1,776.44 and 414.25 is: 621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.75 : 1,776.44 = 414.25 : x
  2. Step 2: Convert to fraction form
    1,183.75/1,776.44 = 414.25/x
  3. Step 3: Cross multiply
    1,183.75x = 1,776.44 × 414.25
  4. Step 4: Simplify right side
    1,183.75x = 735,890.27
  5. Step 5: Solve for x
    x = 735,890.27/1,183.75
  6. Step 6: Final answer
    x = 621.66

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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.