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Finding the Fourth Proportional to 1,206.22, 1,809.40 and 475.86

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Solution

The fourth proportional to 1,206.22, 1,809.40 and 475.86 is: 713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.22 : 1,809.40 = 475.86 : x
  2. Step 2: Convert to fraction form
    1,206.22/1,809.40 = 475.86/x
  3. Step 3: Cross multiply
    1,206.22x = 1,809.40 × 475.86
  4. Step 4: Simplify right side
    1,206.22x = 861,021.08
  5. Step 5: Solve for x
    x = 861,021.08/1,206.22
  6. Step 6: Final answer
    x = 713.82

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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.