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Finding the Fourth Proportional to 745.23, 1,028.35 and 413.65

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Solution

The fourth proportional to 745.23, 1,028.35 and 413.65 is: 570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.23 : 1,028.35 = 413.65 : x
  2. Step 2: Convert to fraction form
    745.23/1,028.35 = 413.65/x
  3. Step 3: Cross multiply
    745.23x = 1,028.35 × 413.65
  4. Step 4: Simplify right side
    745.23x = 425,375.73
  5. Step 5: Solve for x
    x = 425,375.73/745.23
  6. Step 6: Final answer
    x = 570.80

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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.