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Finding the Fourth Proportional to 1,101.29, 1,651.89 and 614.03

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Solution

The fourth proportional to 1,101.29, 1,651.89 and 614.03 is: 921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.29 : 1,651.89 = 614.03 : x
  2. Step 2: Convert to fraction form
    1,101.29/1,651.89 = 614.03/x
  3. Step 3: Cross multiply
    1,101.29x = 1,651.89 × 614.03
  4. Step 4: Simplify right side
    1,101.29x = 1,014,310.02
  5. Step 5: Solve for x
    x = 1,014,310.02/1,101.29
  6. Step 6: Final answer
    x = 921.02

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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.