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Finding the Fourth Proportional to 1,216.55, 1,823.01 and 729.03

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Solution

The fourth proportional to 1,216.55, 1,823.01 and 729.03 is: 1,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.55 : 1,823.01 = 729.03 : x
  2. Step 2: Convert to fraction form
    1,216.55/1,823.01 = 729.03/x
  3. Step 3: Cross multiply
    1,216.55x = 1,823.01 × 729.03
  4. Step 4: Simplify right side
    1,216.55x = 1,329,033.08
  5. Step 5: Solve for x
    x = 1,329,033.08/1,216.55
  6. Step 6: Final answer
    x = 1,092.46

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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.