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Finding the Fourth Proportional to 1,275.99, 1,760.87 and 716.47

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Solution

The fourth proportional to 1,275.99, 1,760.87 and 716.47 is: 988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.99 : 1,760.87 = 716.47 : x
  2. Step 2: Convert to fraction form
    1,275.99/1,760.87 = 716.47/x
  3. Step 3: Cross multiply
    1,275.99x = 1,760.87 × 716.47
  4. Step 4: Simplify right side
    1,275.99x = 1,261,609.15
  5. Step 5: Solve for x
    x = 1,261,609.15/1,275.99
  6. Step 6: Final answer
    x = 988.73

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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.