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Finding the Fourth Proportional to 1,215.73, 1,822.06 and 521.58

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Solution

The fourth proportional to 1,215.73, 1,822.06 and 521.58 is: 781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.73 : 1,822.06 = 521.58 : x
  2. Step 2: Convert to fraction form
    1,215.73/1,822.06 = 521.58/x
  3. Step 3: Cross multiply
    1,215.73x = 1,822.06 × 521.58
  4. Step 4: Simplify right side
    1,215.73x = 950,350.05
  5. Step 5: Solve for x
    x = 950,350.05/1,215.73
  6. Step 6: Final answer
    x = 781.71

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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.