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Finding the Fourth Proportional to 744.85, 1,027.84 and 413.25

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Solution

The fourth proportional to 744.85, 1,027.84 and 413.25 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.85 : 1,027.84 = 413.25 : x
  2. Step 2: Convert to fraction form
    744.85/1,027.84 = 413.25/x
  3. Step 3: Cross multiply
    744.85x = 1,027.84 × 413.25
  4. Step 4: Simplify right side
    744.85x = 424,754.88
  5. Step 5: Solve for x
    x = 424,754.88/744.85
  6. Step 6: Final answer
    x = 570.26

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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.