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Finding the Fourth Proportional to 1,297.85, 1,791.28 and 904.64

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Solution

The fourth proportional to 1,297.85, 1,791.28 and 904.64 is: 1,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.85 : 1,791.28 = 904.64 : x
  2. Step 2: Convert to fraction form
    1,297.85/1,791.28 = 904.64/x
  3. Step 3: Cross multiply
    1,297.85x = 1,791.28 × 904.64
  4. Step 4: Simplify right side
    1,297.85x = 1,620,469.15
  5. Step 5: Solve for x
    x = 1,620,469.15/1,297.85
  6. Step 6: Final answer
    x = 1,248.58

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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.