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Finding the Fourth Proportional to 1,297.29, 1,946.24 and 372.86

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Solution

The fourth proportional to 1,297.29, 1,946.24 and 372.86 is: 559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.29 : 1,946.24 = 372.86 : x
  2. Step 2: Convert to fraction form
    1,297.29/1,946.24 = 372.86/x
  3. Step 3: Cross multiply
    1,297.29x = 1,946.24 × 372.86
  4. Step 4: Simplify right side
    1,297.29x = 725,672.15
  5. Step 5: Solve for x
    x = 725,672.15/1,297.29
  6. Step 6: Final answer
    x = 559.37

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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.