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Finding the Fourth Proportional to 820.44, 1,231.74 and 430.74

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Solution

The fourth proportional to 820.44, 1,231.74 and 430.74 is: 646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.44 : 1,231.74 = 430.74 : x
  2. Step 2: Convert to fraction form
    820.44/1,231.74 = 430.74/x
  3. Step 3: Cross multiply
    820.44x = 1,231.74 × 430.74
  4. Step 4: Simplify right side
    820.44x = 530,559.69
  5. Step 5: Solve for x
    x = 530,559.69/820.44
  6. Step 6: Final answer
    x = 646.68

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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.