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Finding the Fourth Proportional to 1,205.75, 1,808.93 and 512.60

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Solution

The fourth proportional to 1,205.75, 1,808.93 and 512.60 is: 769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.75 : 1,808.93 = 512.60 : x
  2. Step 2: Convert to fraction form
    1,205.75/1,808.93 = 512.60/x
  3. Step 3: Cross multiply
    1,205.75x = 1,808.93 × 512.60
  4. Step 4: Simplify right side
    1,205.75x = 927,249.75
  5. Step 5: Solve for x
    x = 927,249.75/1,205.75
  6. Step 6: Final answer
    x = 769.02

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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.