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Finding the Fourth Proportional to 1,210.98, 1,815.08 and 516.64

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Solution

The fourth proportional to 1,210.98, 1,815.08 and 516.64 is: 774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.98 : 1,815.08 = 516.64 : x
  2. Step 2: Convert to fraction form
    1,210.98/1,815.08 = 516.64/x
  3. Step 3: Cross multiply
    1,210.98x = 1,815.08 × 516.64
  4. Step 4: Simplify right side
    1,210.98x = 937,742.93
  5. Step 5: Solve for x
    x = 937,742.93/1,210.98
  6. Step 6: Final answer
    x = 774.37

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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.