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Finding the Fourth Proportional to 1,131.52, 1,560.96 and 716.80

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Solution

The fourth proportional to 1,131.52, 1,560.96 and 716.80 is: 988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.52 : 1,560.96 = 716.80 : x
  2. Step 2: Convert to fraction form
    1,131.52/1,560.96 = 716.80/x
  3. Step 3: Cross multiply
    1,131.52x = 1,560.96 × 716.80
  4. Step 4: Simplify right side
    1,131.52x = 1,118,896.13
  5. Step 5: Solve for x
    x = 1,118,896.13/1,131.52
  6. Step 6: Final answer
    x = 988.84

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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.