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Finding the Fourth Proportional to 1,298.12, 1,791.41 and 708.66

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Solution

The fourth proportional to 1,298.12, 1,791.41 and 708.66 is: 977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.12 : 1,791.41 = 708.66 : x
  2. Step 2: Convert to fraction form
    1,298.12/1,791.41 = 708.66/x
  3. Step 3: Cross multiply
    1,298.12x = 1,791.41 × 708.66
  4. Step 4: Simplify right side
    1,298.12x = 1,269,497.07
  5. Step 5: Solve for x
    x = 1,269,497.07/1,298.12
  6. Step 6: Final answer
    x = 977.95

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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.