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Finding the Fourth Proportional to 1,322.91, 1,984.46 and 349

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Solution

The fourth proportional to 1,322.91, 1,984.46 and 349 is: 523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.91 : 1,984.46 = 349 : x
  2. Step 2: Convert to fraction form
    1,322.91/1,984.46 = 349/x
  3. Step 3: Cross multiply
    1,322.91x = 1,984.46 × 349
  4. Step 4: Simplify right side
    1,322.91x = 692,576.54
  5. Step 5: Solve for x
    x = 692,576.54/1,322.91
  6. Step 6: Final answer
    x = 523.53

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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.