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Finding the Fourth Proportional to 743.09, 1,115.36 and 353.35

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Solution

The fourth proportional to 743.09, 1,115.36 and 353.35 is: 530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.09 : 1,115.36 = 353.35 : x
  2. Step 2: Convert to fraction form
    743.09/1,115.36 = 353.35/x
  3. Step 3: Cross multiply
    743.09x = 1,115.36 × 353.35
  4. Step 4: Simplify right side
    743.09x = 394,110.69
  5. Step 5: Solve for x
    x = 394,110.69/743.09
  6. Step 6: Final answer
    x = 530.37

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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.