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Finding the Fourth Proportional to 1,216.29, 1,823.49 and 522.39

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Solution

The fourth proportional to 1,216.29, 1,823.49 and 522.39 is: 783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.29 : 1,823.49 = 522.39 : x
  2. Step 2: Convert to fraction form
    1,216.29/1,823.49 = 522.39/x
  3. Step 3: Cross multiply
    1,216.29x = 1,823.49 × 522.39
  4. Step 4: Simplify right side
    1,216.29x = 952,572.94
  5. Step 5: Solve for x
    x = 952,572.94/1,216.29
  6. Step 6: Final answer
    x = 783.18

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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.