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Finding the Fourth Proportional to 1,297.73, 1,946.61 and 323.82

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Solution

The fourth proportional to 1,297.73, 1,946.61 and 323.82 is: 485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.73 : 1,946.61 = 323.82 : x
  2. Step 2: Convert to fraction form
    1,297.73/1,946.61 = 323.82/x
  3. Step 3: Cross multiply
    1,297.73x = 1,946.61 × 323.82
  4. Step 4: Simplify right side
    1,297.73x = 630,351.25
  5. Step 5: Solve for x
    x = 630,351.25/1,297.73
  6. Step 6: Final answer
    x = 485.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.