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Finding the Fourth Proportional to 1,255.20, 1,883.10 and 524.37

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Solution

The fourth proportional to 1,255.20, 1,883.10 and 524.37 is: 786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.20 : 1,883.10 = 524.37 : x
  2. Step 2: Convert to fraction form
    1,255.20/1,883.10 = 524.37/x
  3. Step 3: Cross multiply
    1,255.20x = 1,883.10 × 524.37
  4. Step 4: Simplify right side
    1,255.20x = 987,441.15
  5. Step 5: Solve for x
    x = 987,441.15/1,255.20
  6. Step 6: Final answer
    x = 786.68

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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.