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Finding the Fourth Proportional to 1,297.32, 1,791.83 and 1,032.65

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Solution

The fourth proportional to 1,297.32, 1,791.83 and 1,032.65 is: 1,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.32 : 1,791.83 = 1,032.65 : x
  2. Step 2: Convert to fraction form
    1,297.32/1,791.83 = 1,032.65/x
  3. Step 3: Cross multiply
    1,297.32x = 1,791.83 × 1,032.65
  4. Step 4: Simplify right side
    1,297.32x = 1,850,332.57
  5. Step 5: Solve for x
    x = 1,850,332.57/1,297.32
  6. Step 6: Final answer
    x = 1,426.27

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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.