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Finding the Fourth Proportional to 1,129.97, 1,694.97 and 349.94

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Solution

The fourth proportional to 1,129.97, 1,694.97 and 349.94 is: 524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.97 : 1,694.97 = 349.94 : x
  2. Step 2: Convert to fraction form
    1,129.97/1,694.97 = 349.94/x
  3. Step 3: Cross multiply
    1,129.97x = 1,694.97 × 349.94
  4. Step 4: Simplify right side
    1,129.97x = 593,142.04
  5. Step 5: Solve for x
    x = 593,142.04/1,129.97
  6. Step 6: Final answer
    x = 524.92

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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.