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Finding the Fourth Proportional to 744.71, 1,027.67 and 413.12

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Solution

The fourth proportional to 744.71, 1,027.67 and 413.12 is: 570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.71 : 1,027.67 = 413.12 : x
  2. Step 2: Convert to fraction form
    744.71/1,027.67 = 413.12/x
  3. Step 3: Cross multiply
    744.71x = 1,027.67 × 413.12
  4. Step 4: Simplify right side
    744.71x = 424,551.53
  5. Step 5: Solve for x
    x = 424,551.53/744.71
  6. Step 6: Final answer
    x = 570.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.