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Finding the Fourth Proportional to 1,107.23, 1,652.21 and 1,008.98

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Solution

The fourth proportional to 1,107.23, 1,652.21 and 1,008.98 is: 1,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.23 : 1,652.21 = 1,008.98 : x
  2. Step 2: Convert to fraction form
    1,107.23/1,652.21 = 1,008.98/x
  3. Step 3: Cross multiply
    1,107.23x = 1,652.21 × 1,008.98
  4. Step 4: Simplify right side
    1,107.23x = 1,667,049.03
  5. Step 5: Solve for x
    x = 1,667,049.03/1,107.23
  6. Step 6: Final answer
    x = 1,505.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.