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Finding the Fourth Proportional to 1,024.34, 1,413.78 and 582.26

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Solution

The fourth proportional to 1,024.34, 1,413.78 and 582.26 is: 803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.34 : 1,413.78 = 582.26 : x
  2. Step 2: Convert to fraction form
    1,024.34/1,413.78 = 582.26/x
  3. Step 3: Cross multiply
    1,024.34x = 1,413.78 × 582.26
  4. Step 4: Simplify right side
    1,024.34x = 823,187.54
  5. Step 5: Solve for x
    x = 823,187.54/1,024.34
  6. Step 6: Final answer
    x = 803.63

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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.