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Finding the Fourth Proportional to 1,216.74, 1,825.23 and 523.47

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Solution

The fourth proportional to 1,216.74, 1,825.23 and 523.47 is: 785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.74 : 1,825.23 = 523.47 : x
  2. Step 2: Convert to fraction form
    1,216.74/1,825.23 = 523.47/x
  3. Step 3: Cross multiply
    1,216.74x = 1,825.23 × 523.47
  4. Step 4: Simplify right side
    1,216.74x = 955,453.15
  5. Step 5: Solve for x
    x = 955,453.15/1,216.74
  6. Step 6: Final answer
    x = 785.26

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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.