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Finding the Fourth Proportional to 1,231.22, 1,846.92 and 353.74

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Solution

The fourth proportional to 1,231.22, 1,846.92 and 353.74 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.22 : 1,846.92 = 353.74 : x
  2. Step 2: Convert to fraction form
    1,231.22/1,846.92 = 353.74/x
  3. Step 3: Cross multiply
    1,231.22x = 1,846.92 × 353.74
  4. Step 4: Simplify right side
    1,231.22x = 653,329.48
  5. Step 5: Solve for x
    x = 653,329.48/1,231.22
  6. Step 6: Final answer
    x = 530.64

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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.