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Finding the Fourth Proportional to 749.69, 1,124.33 and 229.55

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Solution

The fourth proportional to 749.69, 1,124.33 and 229.55 is: 344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.69 : 1,124.33 = 229.55 : x
  2. Step 2: Convert to fraction form
    749.69/1,124.33 = 229.55/x
  3. Step 3: Cross multiply
    749.69x = 1,124.33 × 229.55
  4. Step 4: Simplify right side
    749.69x = 258,093.34
  5. Step 5: Solve for x
    x = 258,093.34/749.69
  6. Step 6: Final answer
    x = 344.27

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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.