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Finding the Fourth Proportional to 1,180.83, 1,771.24 and 315.14

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Solution

The fourth proportional to 1,180.83, 1,771.24 and 315.14 is: 472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.83 : 1,771.24 = 315.14 : x
  2. Step 2: Convert to fraction form
    1,180.83/1,771.24 = 315.14/x
  3. Step 3: Cross multiply
    1,180.83x = 1,771.24 × 315.14
  4. Step 4: Simplify right side
    1,180.83x = 558,190.37
  5. Step 5: Solve for x
    x = 558,190.37/1,180.83
  6. Step 6: Final answer
    x = 472.71

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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.