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Finding the Fourth Proportional to 745.40, 1,028.62 and 413.85

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Solution

The fourth proportional to 745.40, 1,028.62 and 413.85 is: 571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.40 : 1,028.62 = 413.85 : x
  2. Step 2: Convert to fraction form
    745.40/1,028.62 = 413.85/x
  3. Step 3: Cross multiply
    745.40x = 1,028.62 × 413.85
  4. Step 4: Simplify right side
    745.40x = 425,690.95
  5. Step 5: Solve for x
    x = 425,690.95/745.40
  6. Step 6: Final answer
    x = 571.09

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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.