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Finding the Fourth Proportional to 1,275.98, 1,760.66 and 716.46

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Solution

The fourth proportional to 1,275.98, 1,760.66 and 716.46 is: 988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.98 : 1,760.66 = 716.46 : x
  2. Step 2: Convert to fraction form
    1,275.98/1,760.66 = 716.46/x
  3. Step 3: Cross multiply
    1,275.98x = 1,760.66 × 716.46
  4. Step 4: Simplify right side
    1,275.98x = 1,261,442.46
  5. Step 5: Solve for x
    x = 1,261,442.46/1,275.98
  6. Step 6: Final answer
    x = 988.61

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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.