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Finding the Fourth Proportional to 1,216.73, 1,823.56 and 522.58

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Solution

The fourth proportional to 1,216.73, 1,823.56 and 522.58 is: 783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.73 : 1,823.56 = 522.58 : x
  2. Step 2: Convert to fraction form
    1,216.73/1,823.56 = 522.58/x
  3. Step 3: Cross multiply
    1,216.73x = 1,823.56 × 522.58
  4. Step 4: Simplify right side
    1,216.73x = 952,955.98
  5. Step 5: Solve for x
    x = 952,955.98/1,216.73
  6. Step 6: Final answer
    x = 783.21

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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.