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Finding the Fourth Proportional to 742.98, 1,114.52 and 413.91

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Solution

The fourth proportional to 742.98, 1,114.52 and 413.91 is: 620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.98 : 1,114.52 = 413.91 : x
  2. Step 2: Convert to fraction form
    742.98/1,114.52 = 413.91/x
  3. Step 3: Cross multiply
    742.98x = 1,114.52 × 413.91
  4. Step 4: Simplify right side
    742.98x = 461,305.67
  5. Step 5: Solve for x
    x = 461,305.67/742.98
  6. Step 6: Final answer
    x = 620.88

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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.