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Finding the Fourth Proportional to 1,206.63, 1,809.27 and 475.56

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Solution

The fourth proportional to 1,206.63, 1,809.27 and 475.56 is: 713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.63 : 1,809.27 = 475.56 : x
  2. Step 2: Convert to fraction form
    1,206.63/1,809.27 = 475.56/x
  3. Step 3: Cross multiply
    1,206.63x = 1,809.27 × 475.56
  4. Step 4: Simplify right side
    1,206.63x = 860,416.44
  5. Step 5: Solve for x
    x = 860,416.44/1,206.63
  6. Step 6: Final answer
    x = 713.07

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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.