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Finding the Fourth Proportional to 1,246.18, 1,868.04 and 516.16

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Solution

The fourth proportional to 1,246.18, 1,868.04 and 516.16 is: 773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.18 : 1,868.04 = 516.16 : x
  2. Step 2: Convert to fraction form
    1,246.18/1,868.04 = 516.16/x
  3. Step 3: Cross multiply
    1,246.18x = 1,868.04 × 516.16
  4. Step 4: Simplify right side
    1,246.18x = 964,207.53
  5. Step 5: Solve for x
    x = 964,207.53/1,246.18
  6. Step 6: Final answer
    x = 773.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.