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Finding the Fourth Proportional to 1,297.32, 1,946.39 and 475.85

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Solution

The fourth proportional to 1,297.32, 1,946.39 and 475.85 is: 713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.32 : 1,946.39 = 475.85 : x
  2. Step 2: Convert to fraction form
    1,297.32/1,946.39 = 475.85/x
  3. Step 3: Cross multiply
    1,297.32x = 1,946.39 × 475.85
  4. Step 4: Simplify right side
    1,297.32x = 926,189.68
  5. Step 5: Solve for x
    x = 926,189.68/1,297.32
  6. Step 6: Final answer
    x = 713.93

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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.