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Finding the Fourth Proportional to 1,205.66, 1,808.26 and 512.82

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Solution

The fourth proportional to 1,205.66, 1,808.26 and 512.82 is: 769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.66 : 1,808.26 = 512.82 : x
  2. Step 2: Convert to fraction form
    1,205.66/1,808.26 = 512.82/x
  3. Step 3: Cross multiply
    1,205.66x = 1,808.26 × 512.82
  4. Step 4: Simplify right side
    1,205.66x = 927,311.89
  5. Step 5: Solve for x
    x = 927,311.89/1,205.66
  6. Step 6: Final answer
    x = 769.13

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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.