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Finding the Fourth Proportional to 1,297.69, 1,946.20 and 475.94

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Solution

The fourth proportional to 1,297.69, 1,946.20 and 475.94 is: 713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.69 : 1,946.20 = 475.94 : x
  2. Step 2: Convert to fraction form
    1,297.69/1,946.20 = 475.94/x
  3. Step 3: Cross multiply
    1,297.69x = 1,946.20 × 475.94
  4. Step 4: Simplify right side
    1,297.69x = 926,274.43
  5. Step 5: Solve for x
    x = 926,274.43/1,297.69
  6. Step 6: Final answer
    x = 713.79

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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.