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Finding the Fourth Proportional to 1,131.98, 1,561.41 and 739.53

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Solution

The fourth proportional to 1,131.98, 1,561.41 and 739.53 is: 1,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.98 : 1,561.41 = 739.53 : x
  2. Step 2: Convert to fraction form
    1,131.98/1,561.41 = 739.53/x
  3. Step 3: Cross multiply
    1,131.98x = 1,561.41 × 739.53
  4. Step 4: Simplify right side
    1,131.98x = 1,154,709.54
  5. Step 5: Solve for x
    x = 1,154,709.54/1,131.98
  6. Step 6: Final answer
    x = 1,020.08

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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.