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Finding the Fourth Proportional to 876.42, 1,314.09 and 413.91

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Solution

The fourth proportional to 876.42, 1,314.09 and 413.91 is: 620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.42 : 1,314.09 = 413.91 : x
  2. Step 2: Convert to fraction form
    876.42/1,314.09 = 413.91/x
  3. Step 3: Cross multiply
    876.42x = 1,314.09 × 413.91
  4. Step 4: Simplify right side
    876.42x = 543,914.99
  5. Step 5: Solve for x
    x = 543,914.99/876.42
  6. Step 6: Final answer
    x = 620.61

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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.