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Finding the Fourth Proportional to 1,210.06, 1,815.36 and 516.73

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Solution

The fourth proportional to 1,210.06, 1,815.36 and 516.73 is: 775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.06 : 1,815.36 = 516.73 : x
  2. Step 2: Convert to fraction form
    1,210.06/1,815.36 = 516.73/x
  3. Step 3: Cross multiply
    1,210.06x = 1,815.36 × 516.73
  4. Step 4: Simplify right side
    1,210.06x = 938,050.97
  5. Step 5: Solve for x
    x = 938,050.97/1,210.06
  6. Step 6: Final answer
    x = 775.21

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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.