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Finding the Fourth Proportional to 1,215.63, 1,822.96 and 522.61

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Solution

The fourth proportional to 1,215.63, 1,822.96 and 522.61 is: 783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.63 : 1,822.96 = 522.61 : x
  2. Step 2: Convert to fraction form
    1,215.63/1,822.96 = 522.61/x
  3. Step 3: Cross multiply
    1,215.63x = 1,822.96 × 522.61
  4. Step 4: Simplify right side
    1,215.63x = 952,697.13
  5. Step 5: Solve for x
    x = 952,697.13/1,215.63
  6. Step 6: Final answer
    x = 783.71

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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.