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Finding the Fourth Proportional to 1,297.17, 1,946.49 and 475.68

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Solution

The fourth proportional to 1,297.17, 1,946.49 and 475.68 is: 713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.17 : 1,946.49 = 475.68 : x
  2. Step 2: Convert to fraction form
    1,297.17/1,946.49 = 475.68/x
  3. Step 3: Cross multiply
    1,297.17x = 1,946.49 × 475.68
  4. Step 4: Simplify right side
    1,297.17x = 925,906.36
  5. Step 5: Solve for x
    x = 925,906.36/1,297.17
  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.