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Finding the Fourth Proportional to 1,246.76, 1,870.16 and 516.41

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Solution

The fourth proportional to 1,246.76, 1,870.16 and 516.41 is: 774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.76 : 1,870.16 = 516.41 : x
  2. Step 2: Convert to fraction form
    1,246.76/1,870.16 = 516.41/x
  3. Step 3: Cross multiply
    1,246.76x = 1,870.16 × 516.41
  4. Step 4: Simplify right side
    1,246.76x = 965,764.41
  5. Step 5: Solve for x
    x = 965,764.41/1,246.76
  6. Step 6: Final answer
    x = 774.62

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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.