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Finding the Fourth Proportional to 754.43, 1,041.08 and 413.74

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Solution

The fourth proportional to 754.43, 1,041.08 and 413.74 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.43 : 1,041.08 = 413.74 : x
  2. Step 2: Convert to fraction form
    754.43/1,041.08 = 413.74/x
  3. Step 3: Cross multiply
    754.43x = 1,041.08 × 413.74
  4. Step 4: Simplify right side
    754.43x = 430,736.44
  5. Step 5: Solve for x
    x = 430,736.44/754.43
  6. Step 6: Final answer
    x = 570.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.