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Finding the Fourth Proportional to 1,114.71, 1,538.32 and 722.41

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Solution

The fourth proportional to 1,114.71, 1,538.32 and 722.41 is: 996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.71 : 1,538.32 = 722.41 : x
  2. Step 2: Convert to fraction form
    1,114.71/1,538.32 = 722.41/x
  3. Step 3: Cross multiply
    1,114.71x = 1,538.32 × 722.41
  4. Step 4: Simplify right side
    1,114.71x = 1,111,297.75
  5. Step 5: Solve for x
    x = 1,111,297.75/1,114.71
  6. Step 6: Final answer
    x = 996.94

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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.