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Finding the Fourth Proportional to 742.54, 1,112.91 and 413.46

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Solution

The fourth proportional to 742.54, 1,112.91 and 413.46 is: 619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.54 : 1,112.91 = 413.46 : x
  2. Step 2: Convert to fraction form
    742.54/1,112.91 = 413.46/x
  3. Step 3: Cross multiply
    742.54x = 1,112.91 × 413.46
  4. Step 4: Simplify right side
    742.54x = 460,148.84
  5. Step 5: Solve for x
    x = 460,148.84/742.54
  6. Step 6: Final answer
    x = 619.69

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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.