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Finding the Fourth Proportional to 1,024.09, 1,413.19 and 558.34

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Solution

The fourth proportional to 1,024.09, 1,413.19 and 558.34 is: 770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.09 : 1,413.19 = 558.34 : x
  2. Step 2: Convert to fraction form
    1,024.09/1,413.19 = 558.34/x
  3. Step 3: Cross multiply
    1,024.09x = 1,413.19 × 558.34
  4. Step 4: Simplify right side
    1,024.09x = 789,040.50
  5. Step 5: Solve for x
    x = 789,040.50/1,024.09
  6. Step 6: Final answer
    x = 770.48

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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.