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Finding the Fourth Proportional to 1,234.65, 1,851.91 and 412.84

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Solution

The fourth proportional to 1,234.65, 1,851.91 and 412.84 is: 619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.65 : 1,851.91 = 412.84 : x
  2. Step 2: Convert to fraction form
    1,234.65/1,851.91 = 412.84/x
  3. Step 3: Cross multiply
    1,234.65x = 1,851.91 × 412.84
  4. Step 4: Simplify right side
    1,234.65x = 764,536.86
  5. Step 5: Solve for x
    x = 764,536.86/1,234.65
  6. Step 6: Final answer
    x = 619.23

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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.