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Finding the Fourth Proportional to 1,298.41, 1,791.74 and 708.83

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Solution

The fourth proportional to 1,298.41, 1,791.74 and 708.83 is: 978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.41 : 1,791.74 = 708.83 : x
  2. Step 2: Convert to fraction form
    1,298.41/1,791.74 = 708.83/x
  3. Step 3: Cross multiply
    1,298.41x = 1,791.74 × 708.83
  4. Step 4: Simplify right side
    1,298.41x = 1,270,043.54
  5. Step 5: Solve for x
    x = 1,270,043.54/1,298.41
  6. Step 6: Final answer
    x = 978.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.