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Finding the Fourth Proportional to 1,206.20, 1,664.46 and 813.75

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Solution

The fourth proportional to 1,206.20, 1,664.46 and 813.75 is: 1,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.20 : 1,664.46 = 813.75 : x
  2. Step 2: Convert to fraction form
    1,206.20/1,664.46 = 813.75/x
  3. Step 3: Cross multiply
    1,206.20x = 1,664.46 × 813.75
  4. Step 4: Simplify right side
    1,206.20x = 1,354,454.33
  5. Step 5: Solve for x
    x = 1,354,454.33/1,206.20
  6. Step 6: Final answer
    x = 1,122.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.