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Finding the Fourth Proportional to 1,234.42, 1,850.54 and 465.46

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Solution

The fourth proportional to 1,234.42, 1,850.54 and 465.46 is: 697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.42 : 1,850.54 = 465.46 : x
  2. Step 2: Convert to fraction form
    1,234.42/1,850.54 = 465.46/x
  3. Step 3: Cross multiply
    1,234.42x = 1,850.54 × 465.46
  4. Step 4: Simplify right side
    1,234.42x = 861,352.35
  5. Step 5: Solve for x
    x = 861,352.35/1,234.42
  6. Step 6: Final answer
    x = 697.78

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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.