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Finding the Fourth Proportional to 1,210.29, 1,814.08 and 516.61

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Solution

The fourth proportional to 1,210.29, 1,814.08 and 516.61 is: 774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.29 : 1,814.08 = 516.61 : x
  2. Step 2: Convert to fraction form
    1,210.29/1,814.08 = 516.61/x
  3. Step 3: Cross multiply
    1,210.29x = 1,814.08 × 516.61
  4. Step 4: Simplify right side
    1,210.29x = 937,171.87
  5. Step 5: Solve for x
    x = 937,171.87/1,210.29
  6. Step 6: Final answer
    x = 774.34

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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.