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Finding the Fourth Proportional to 1,206.75, 1,808.71 and 512.37

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Solution

The fourth proportional to 1,206.75, 1,808.71 and 512.37 is: 767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.75 : 1,808.71 = 512.37 : x
  2. Step 2: Convert to fraction form
    1,206.75/1,808.71 = 512.37/x
  3. Step 3: Cross multiply
    1,206.75x = 1,808.71 × 512.37
  4. Step 4: Simplify right side
    1,206.75x = 926,728.74
  5. Step 5: Solve for x
    x = 926,728.74/1,206.75
  6. Step 6: Final answer
    x = 767.95

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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.