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Finding the Fourth Proportional to 1,024.36, 1,413.60 and 558.61

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Solution

The fourth proportional to 1,024.36, 1,413.60 and 558.61 is: 770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.36 : 1,413.60 = 558.61 : x
  2. Step 2: Convert to fraction form
    1,024.36/1,413.60 = 558.61/x
  3. Step 3: Cross multiply
    1,024.36x = 1,413.60 × 558.61
  4. Step 4: Simplify right side
    1,024.36x = 789,651.10
  5. Step 5: Solve for x
    x = 789,651.10/1,024.36
  6. Step 6: Final answer
    x = 770.87

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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.