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Finding the Fourth Proportional to 1,297.83, 1,791 and 708.37

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Solution

The fourth proportional to 1,297.83, 1,791 and 708.37 is: 977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.83 : 1,791 = 708.37 : x
  2. Step 2: Convert to fraction form
    1,297.83/1,791 = 708.37/x
  3. Step 3: Cross multiply
    1,297.83x = 1,791 × 708.37
  4. Step 4: Simplify right side
    1,297.83x = 1,268,686.19
  5. Step 5: Solve for x
    x = 1,268,686.19/1,297.83
  6. Step 6: Final answer
    x = 977.54

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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.