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Finding the Fourth Proportional to 745.18, 1,028.26 and 413.53

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Solution

The fourth proportional to 745.18, 1,028.26 and 413.53 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.18 : 1,028.26 = 413.53 : x
  2. Step 2: Convert to fraction form
    745.18/1,028.26 = 413.53/x
  3. Step 3: Cross multiply
    745.18x = 1,028.26 × 413.53
  4. Step 4: Simplify right side
    745.18x = 425,216.36
  5. Step 5: Solve for x
    x = 425,216.36/745.18
  6. Step 6: Final answer
    x = 570.62

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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.