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Finding the Fourth Proportional to 929.09, 1,393.97 and 381.43

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Solution

The fourth proportional to 929.09, 1,393.97 and 381.43 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.09 : 1,393.97 = 381.43 : x
  2. Step 2: Convert to fraction form
    929.09/1,393.97 = 381.43/x
  3. Step 3: Cross multiply
    929.09x = 1,393.97 × 381.43
  4. Step 4: Simplify right side
    929.09x = 531,701.98
  5. Step 5: Solve for x
    x = 531,701.98/929.09
  6. Step 6: Final answer
    x = 572.28

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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.