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Finding the Fourth Proportional to 744.73, 1,027.76 and 413.16

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Solution

The fourth proportional to 744.73, 1,027.76 and 413.16 is: 570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.73 : 1,027.76 = 413.16 : x
  2. Step 2: Convert to fraction form
    744.73/1,027.76 = 413.16/x
  3. Step 3: Cross multiply
    744.73x = 1,027.76 × 413.16
  4. Step 4: Simplify right side
    744.73x = 424,629.32
  5. Step 5: Solve for x
    x = 424,629.32/744.73
  6. Step 6: Final answer
    x = 570.18

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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.