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Finding the Fourth Proportional to 1,323.24, 1,984.69 and 349.30

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Solution

The fourth proportional to 1,323.24, 1,984.69 and 349.30 is: 523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.24 : 1,984.69 = 349.30 : x
  2. Step 2: Convert to fraction form
    1,323.24/1,984.69 = 349.30/x
  3. Step 3: Cross multiply
    1,323.24x = 1,984.69 × 349.30
  4. Step 4: Simplify right side
    1,323.24x = 693,252.22
  5. Step 5: Solve for x
    x = 693,252.22/1,323.24
  6. Step 6: Final answer
    x = 523.91

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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.