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Finding the Fourth Proportional to 1,214.82, 1,822.23 and 521.43

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Solution

The fourth proportional to 1,214.82, 1,822.23 and 521.43 is: 782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.82 : 1,822.23 = 521.43 : x
  2. Step 2: Convert to fraction form
    1,214.82/1,822.23 = 521.43/x
  3. Step 3: Cross multiply
    1,214.82x = 1,822.23 × 521.43
  4. Step 4: Simplify right side
    1,214.82x = 950,165.39
  5. Step 5: Solve for x
    x = 950,165.39/1,214.82
  6. Step 6: Final answer
    x = 782.15

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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.