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Finding the Fourth Proportional to 1,114.23, 1,538.28 and 991.20

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Solution

The fourth proportional to 1,114.23, 1,538.28 and 991.20 is: 1,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.23 : 1,538.28 = 991.20 : x
  2. Step 2: Convert to fraction form
    1,114.23/1,538.28 = 991.20/x
  3. Step 3: Cross multiply
    1,114.23x = 1,538.28 × 991.20
  4. Step 4: Simplify right side
    1,114.23x = 1,524,743.14
  5. Step 5: Solve for x
    x = 1,524,743.14/1,114.23
  6. Step 6: Final answer
    x = 1,368.43

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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.