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Finding the Fourth Proportional to 1,217.92, 1,826.08 and 669.96

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Solution

The fourth proportional to 1,217.92, 1,826.08 and 669.96 is: 1,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.92 : 1,826.08 = 669.96 : x
  2. Step 2: Convert to fraction form
    1,217.92/1,826.08 = 669.96/x
  3. Step 3: Cross multiply
    1,217.92x = 1,826.08 × 669.96
  4. Step 4: Simplify right side
    1,217.92x = 1,223,400.56
  5. Step 5: Solve for x
    x = 1,223,400.56/1,217.92
  6. Step 6: Final answer
    x = 1,004.50

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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.