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Finding the Fourth Proportional to 1,255.06, 1,882.60 and 561.56

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Solution

The fourth proportional to 1,255.06, 1,882.60 and 561.56 is: 842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.06 : 1,882.60 = 561.56 : x
  2. Step 2: Convert to fraction form
    1,255.06/1,882.60 = 561.56/x
  3. Step 3: Cross multiply
    1,255.06x = 1,882.60 × 561.56
  4. Step 4: Simplify right side
    1,255.06x = 1,057,192.86
  5. Step 5: Solve for x
    x = 1,057,192.86/1,255.06
  6. Step 6: Final answer
    x = 842.34

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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.