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Finding the Fourth Proportional to 744.75, 1,027.82 and 413.20

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Solution

The fourth proportional to 744.75, 1,027.82 and 413.20 is: 570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.75 : 1,027.82 = 413.20 : x
  2. Step 2: Convert to fraction form
    744.75/1,027.82 = 413.20/x
  3. Step 3: Cross multiply
    744.75x = 1,027.82 × 413.20
  4. Step 4: Simplify right side
    744.75x = 424,695.22
  5. Step 5: Solve for x
    x = 424,695.22/744.75
  6. Step 6: Final answer
    x = 570.25

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1.5x scale

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.