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Finding the Fourth Proportional to 1,297.72, 1,791.10 and 766.68

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Solution

The fourth proportional to 1,297.72, 1,791.10 and 766.68 is: 1,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.72 : 1,791.10 = 766.68 : x
  2. Step 2: Convert to fraction form
    1,297.72/1,791.10 = 766.68/x
  3. Step 3: Cross multiply
    1,297.72x = 1,791.10 × 766.68
  4. Step 4: Simplify right side
    1,297.72x = 1,373,200.55
  5. Step 5: Solve for x
    x = 1,373,200.55/1,297.72
  6. Step 6: Final answer
    x = 1,058.16

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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.