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Finding the Fourth Proportional to 1,255.85, 1,882.09 and 562.37

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Solution

The fourth proportional to 1,255.85, 1,882.09 and 562.37 is: 842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.85 : 1,882.09 = 562.37 : x
  2. Step 2: Convert to fraction form
    1,255.85/1,882.09 = 562.37/x
  3. Step 3: Cross multiply
    1,255.85x = 1,882.09 × 562.37
  4. Step 4: Simplify right side
    1,255.85x = 1,058,420.14
  5. Step 5: Solve for x
    x = 1,058,420.14/1,255.85
  6. Step 6: Final answer
    x = 842.80

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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.