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Finding the Fourth Proportional to 1,206.26, 1,809.12 and 475.50

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Solution

The fourth proportional to 1,206.26, 1,809.12 and 475.50 is: 713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.26 : 1,809.12 = 475.50 : x
  2. Step 2: Convert to fraction form
    1,206.26/1,809.12 = 475.50/x
  3. Step 3: Cross multiply
    1,206.26x = 1,809.12 × 475.50
  4. Step 4: Simplify right side
    1,206.26x = 860,236.56
  5. Step 5: Solve for x
    x = 860,236.56/1,206.26
  6. Step 6: Final answer
    x = 713.14

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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.