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Finding the Fourth Proportional to 1,297.92, 1,791.80 and 880.48

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Solution

The fourth proportional to 1,297.92, 1,791.80 and 880.48 is: 1,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.92 : 1,791.80 = 880.48 : x
  2. Step 2: Convert to fraction form
    1,297.92/1,791.80 = 880.48/x
  3. Step 3: Cross multiply
    1,297.92x = 1,791.80 × 880.48
  4. Step 4: Simplify right side
    1,297.92x = 1,577,644.06
  5. Step 5: Solve for x
    x = 1,577,644.06/1,297.92
  6. Step 6: Final answer
    x = 1,215.52

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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.