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Finding the Fourth Proportional to 1,109.72, 1,531.12 and 716.24

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Solution

The fourth proportional to 1,109.72, 1,531.12 and 716.24 is: 988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.72 : 1,531.12 = 716.24 : x
  2. Step 2: Convert to fraction form
    1,109.72/1,531.12 = 716.24/x
  3. Step 3: Cross multiply
    1,109.72x = 1,531.12 × 716.24
  4. Step 4: Simplify right side
    1,109.72x = 1,096,649.39
  5. Step 5: Solve for x
    x = 1,096,649.39/1,109.72
  6. Step 6: Final answer
    x = 988.22

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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.