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Finding the Fourth Proportional to 1,297.40, 1,946.61 and 475.73

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Solution

The fourth proportional to 1,297.40, 1,946.61 and 475.73 is: 713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.40 : 1,946.61 = 475.73 : x
  2. Step 2: Convert to fraction form
    1,297.40/1,946.61 = 475.73/x
  3. Step 3: Cross multiply
    1,297.40x = 1,946.61 × 475.73
  4. Step 4: Simplify right side
    1,297.40x = 926,051.04
  5. Step 5: Solve for x
    x = 926,051.04/1,297.40
  6. Step 6: Final answer
    x = 713.78

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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.