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Finding the Fourth Proportional to 1,323.10, 1,984.65 and 349.19

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Solution

The fourth proportional to 1,323.10, 1,984.65 and 349.19 is: 523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.10 : 1,984.65 = 349.19 : x
  2. Step 2: Convert to fraction form
    1,323.10/1,984.65 = 349.19/x
  3. Step 3: Cross multiply
    1,323.10x = 1,984.65 × 349.19
  4. Step 4: Simplify right side
    1,323.10x = 693,019.93
  5. Step 5: Solve for x
    x = 693,019.93/1,323.10
  6. Step 6: Final answer
    x = 523.79

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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.