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Finding the Fourth Proportional to 1,205.65, 1,808.38 and 475.23

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Solution

The fourth proportional to 1,205.65, 1,808.38 and 475.23 is: 712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.65 : 1,808.38 = 475.23 : x
  2. Step 2: Convert to fraction form
    1,205.65/1,808.38 = 475.23/x
  3. Step 3: Cross multiply
    1,205.65x = 1,808.38 × 475.23
  4. Step 4: Simplify right side
    1,205.65x = 859,395.24
  5. Step 5: Solve for x
    x = 859,395.24/1,205.65
  6. Step 6: Final answer
    x = 712.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.