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Finding the Fourth Proportional to 745.07, 1,028.19 and 413.48

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Solution

The fourth proportional to 745.07, 1,028.19 and 413.48 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.07 : 1,028.19 = 413.48 : x
  2. Step 2: Convert to fraction form
    745.07/1,028.19 = 413.48/x
  3. Step 3: Cross multiply
    745.07x = 1,028.19 × 413.48
  4. Step 4: Simplify right side
    745.07x = 425,134.45
  5. Step 5: Solve for x
    x = 425,134.45/745.07
  6. Step 6: Final answer
    x = 570.59

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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.