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Finding the Fourth Proportional to 1,217.82, 1,825.16 and 523.68

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Solution

The fourth proportional to 1,217.82, 1,825.16 and 523.68 is: 784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.82 : 1,825.16 = 523.68 : x
  2. Step 2: Convert to fraction form
    1,217.82/1,825.16 = 523.68/x
  3. Step 3: Cross multiply
    1,217.82x = 1,825.16 × 523.68
  4. Step 4: Simplify right side
    1,217.82x = 955,799.79
  5. Step 5: Solve for x
    x = 955,799.79/1,217.82
  6. Step 6: Final answer
    x = 784.84

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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.