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Finding the Fourth Proportional to 1,206.34, 1,809.41 and 475.91

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Solution

The fourth proportional to 1,206.34, 1,809.41 and 475.91 is: 713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.34 : 1,809.41 = 475.91 : x
  2. Step 2: Convert to fraction form
    1,206.34/1,809.41 = 475.91/x
  3. Step 3: Cross multiply
    1,206.34x = 1,809.41 × 475.91
  4. Step 4: Simplify right side
    1,206.34x = 861,113.93
  5. Step 5: Solve for x
    x = 861,113.93/1,206.34
  6. Step 6: Final answer
    x = 713.83

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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.