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Finding the Fourth Proportional to 1,024.62, 1,413.81 and 582.54

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Solution

The fourth proportional to 1,024.62, 1,413.81 and 582.54 is: 803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.62 : 1,413.81 = 582.54 : x
  2. Step 2: Convert to fraction form
    1,024.62/1,413.81 = 582.54/x
  3. Step 3: Cross multiply
    1,024.62x = 1,413.81 × 582.54
  4. Step 4: Simplify right side
    1,024.62x = 823,600.88
  5. Step 5: Solve for x
    x = 823,600.88/1,024.62
  6. Step 6: Final answer
    x = 803.81

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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.