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Finding the Fourth Proportional to 1,229.92, 1,845.96 and 645.34

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Solution

The fourth proportional to 1,229.92, 1,845.96 and 645.34 is: 968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.92 : 1,845.96 = 645.34 : x
  2. Step 2: Convert to fraction form
    1,229.92/1,845.96 = 645.34/x
  3. Step 3: Cross multiply
    1,229.92x = 1,845.96 × 645.34
  4. Step 4: Simplify right side
    1,229.92x = 1,191,267.21
  5. Step 5: Solve for x
    x = 1,191,267.21/1,229.92
  6. Step 6: Final answer
    x = 968.57

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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.