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Finding the Fourth Proportional to 1,024.80, 1,413.36 and 763.44

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Solution

The fourth proportional to 1,024.80, 1,413.36 and 763.44 is: 1,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.80 : 1,413.36 = 763.44 : x
  2. Step 2: Convert to fraction form
    1,024.80/1,413.36 = 763.44/x
  3. Step 3: Cross multiply
    1,024.80x = 1,413.36 × 763.44
  4. Step 4: Simplify right side
    1,024.80x = 1,079,015.56
  5. Step 5: Solve for x
    x = 1,079,015.56/1,024.80
  6. Step 6: Final answer
    x = 1,052.90

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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.