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Finding the Fourth Proportional to 1,255.13, 1,882.89 and 389.64

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Solution

The fourth proportional to 1,255.13, 1,882.89 and 389.64 is: 584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.13 : 1,882.89 = 389.64 : x
  2. Step 2: Convert to fraction form
    1,255.13/1,882.89 = 389.64/x
  3. Step 3: Cross multiply
    1,255.13x = 1,882.89 × 389.64
  4. Step 4: Simplify right side
    1,255.13x = 733,649.26
  5. Step 5: Solve for x
    x = 733,649.26/1,255.13
  6. Step 6: Final answer
    x = 584.52

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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.