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Finding the Fourth Proportional to 1,214.41, 1,822.16 and 521.26

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Solution

The fourth proportional to 1,214.41, 1,822.16 and 521.26 is: 782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.41 : 1,822.16 = 521.26 : x
  2. Step 2: Convert to fraction form
    1,214.41/1,822.16 = 521.26/x
  3. Step 3: Cross multiply
    1,214.41x = 1,822.16 × 521.26
  4. Step 4: Simplify right side
    1,214.41x = 949,819.12
  5. Step 5: Solve for x
    x = 949,819.12/1,214.41
  6. Step 6: Final answer
    x = 782.12

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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.