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Finding the Fourth Proportional to 1,114.72, 1,538.39 and 722.88

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Solution

The fourth proportional to 1,114.72, 1,538.39 and 722.88 is: 997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.72 : 1,538.39 = 722.88 : x
  2. Step 2: Convert to fraction form
    1,114.72/1,538.39 = 722.88/x
  3. Step 3: Cross multiply
    1,114.72x = 1,538.39 × 722.88
  4. Step 4: Simplify right side
    1,114.72x = 1,112,073.17
  5. Step 5: Solve for x
    x = 1,112,073.17/1,114.72
  6. Step 6: Final answer
    x = 997.63

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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.