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Finding the Fourth Proportional to 1,245.94, 1,869.54 and 516.04

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Solution

The fourth proportional to 1,245.94, 1,869.54 and 516.04 is: 774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.94 : 1,869.54 = 516.04 : x
  2. Step 2: Convert to fraction form
    1,245.94/1,869.54 = 516.04/x
  3. Step 3: Cross multiply
    1,245.94x = 1,869.54 × 516.04
  4. Step 4: Simplify right side
    1,245.94x = 964,757.42
  5. Step 5: Solve for x
    x = 964,757.42/1,245.94
  6. Step 6: Final answer
    x = 774.32

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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.