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Finding the Fourth Proportional to 745.41, 1,028.64 and 413.82

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Solution

The fourth proportional to 745.41, 1,028.64 and 413.82 is: 571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.41 : 1,028.64 = 413.82 : x
  2. Step 2: Convert to fraction form
    745.41/1,028.64 = 413.82/x
  3. Step 3: Cross multiply
    745.41x = 1,028.64 × 413.82
  4. Step 4: Simplify right side
    745.41x = 425,671.80
  5. Step 5: Solve for x
    x = 425,671.80/745.41
  6. Step 6: Final answer
    x = 571.06

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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.