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Finding the Fourth Proportional to 1,297.69, 1,946.09 and 475.74

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Solution

The fourth proportional to 1,297.69, 1,946.09 and 475.74 is: 713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.69 : 1,946.09 = 475.74 : x
  2. Step 2: Convert to fraction form
    1,297.69/1,946.09 = 475.74/x
  3. Step 3: Cross multiply
    1,297.69x = 1,946.09 × 475.74
  4. Step 4: Simplify right side
    1,297.69x = 925,834.05
  5. Step 5: Solve for x
    x = 925,834.05/1,297.69
  6. Step 6: Final answer
    x = 713.45

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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.