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Finding the Fourth Proportional to 744.86, 1,027.80 and 413.24

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Solution

The fourth proportional to 744.86, 1,027.80 and 413.24 is: 570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.86 : 1,027.80 = 413.24 : x
  2. Step 2: Convert to fraction form
    744.86/1,027.80 = 413.24/x
  3. Step 3: Cross multiply
    744.86x = 1,027.80 × 413.24
  4. Step 4: Simplify right side
    744.86x = 424,728.07
  5. Step 5: Solve for x
    x = 424,728.07/744.86
  6. Step 6: Final answer
    x = 570.21

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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.