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Finding the Fourth Proportional to 1,323.29, 1,984.93 and 349.39

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Solution

The fourth proportional to 1,323.29, 1,984.93 and 349.39 is: 524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.29 : 1,984.93 = 349.39 : x
  2. Step 2: Convert to fraction form
    1,323.29/1,984.93 = 349.39/x
  3. Step 3: Cross multiply
    1,323.29x = 1,984.93 × 349.39
  4. Step 4: Simplify right side
    1,323.29x = 693,511.70
  5. Step 5: Solve for x
    x = 693,511.70/1,323.29
  6. Step 6: Final answer
    x = 524.08

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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.