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Finding the Fourth Proportional to 1,215.73, 1,822.65 and 521.83

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Solution

The fourth proportional to 1,215.73, 1,822.65 and 521.83 is: 782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.73 : 1,822.65 = 521.83 : x
  2. Step 2: Convert to fraction form
    1,215.73/1,822.65 = 521.83/x
  3. Step 3: Cross multiply
    1,215.73x = 1,822.65 × 521.83
  4. Step 4: Simplify right side
    1,215.73x = 951,113.45
  5. Step 5: Solve for x
    x = 951,113.45/1,215.73
  6. Step 6: Final answer
    x = 782.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.