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Finding the Fourth Proportional to 832.25, 1,246.71 and 414.53

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Solution

The fourth proportional to 832.25, 1,246.71 and 414.53 is: 620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.25 : 1,246.71 = 414.53 : x
  2. Step 2: Convert to fraction form
    832.25/1,246.71 = 414.53/x
  3. Step 3: Cross multiply
    832.25x = 1,246.71 × 414.53
  4. Step 4: Simplify right side
    832.25x = 516,791.43
  5. Step 5: Solve for x
    x = 516,791.43/832.25
  6. Step 6: Final answer
    x = 620.96

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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.