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Finding the Fourth Proportional to 1,234.93, 1,853.33 and 455.68

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Solution

The fourth proportional to 1,234.93, 1,853.33 and 455.68 is: 683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.93 : 1,853.33 = 455.68 : x
  2. Step 2: Convert to fraction form
    1,234.93/1,853.33 = 455.68/x
  3. Step 3: Cross multiply
    1,234.93x = 1,853.33 × 455.68
  4. Step 4: Simplify right side
    1,234.93x = 844,523.14
  5. Step 5: Solve for x
    x = 844,523.14/1,234.93
  6. Step 6: Final answer
    x = 683.86

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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.