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Finding the Fourth Proportional to 1,206.60, 1,809.90 and 512.52

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Solution

The fourth proportional to 1,206.60, 1,809.90 and 512.52 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.60 : 1,809.90 = 512.52 : x
  2. Step 2: Convert to fraction form
    1,206.60/1,809.90 = 512.52/x
  3. Step 3: Cross multiply
    1,206.60x = 1,809.90 × 512.52
  4. Step 4: Simplify right side
    1,206.60x = 927,609.95
  5. Step 5: Solve for x
    x = 927,609.95/1,206.60
  6. Step 6: Final answer
    x = 768.78

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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.