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Finding the Fourth Proportional to 1,040.23, 1,431.03 and 899.29

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Solution

The fourth proportional to 1,040.23, 1,431.03 and 899.29 is: 1,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.23 : 1,431.03 = 899.29 : x
  2. Step 2: Convert to fraction form
    1,040.23/1,431.03 = 899.29/x
  3. Step 3: Cross multiply
    1,040.23x = 1,431.03 × 899.29
  4. Step 4: Simplify right side
    1,040.23x = 1,286,910.97
  5. Step 5: Solve for x
    x = 1,286,910.97/1,040.23
  6. Step 6: Final answer
    x = 1,237.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.