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Finding the Fourth Proportional to 1,234.64, 1,851.52 and 412.69

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Solution

The fourth proportional to 1,234.64, 1,851.52 and 412.69 is: 618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.64 : 1,851.52 = 412.69 : x
  2. Step 2: Convert to fraction form
    1,234.64/1,851.52 = 412.69/x
  3. Step 3: Cross multiply
    1,234.64x = 1,851.52 × 412.69
  4. Step 4: Simplify right side
    1,234.64x = 764,103.79
  5. Step 5: Solve for x
    x = 764,103.79/1,234.64
  6. Step 6: Final answer
    x = 618.89

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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.