Home / 1,024.46-1,413.75-582.43

Finding the Fourth Proportional to 1,024.46, 1,413.75 and 582.43

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Solution

The fourth proportional to 1,024.46, 1,413.75 and 582.43 is: 803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.46 : 1,413.75 = 582.43 : x
  2. Step 2: Convert to fraction form
    1,024.46/1,413.75 = 582.43/x
  3. Step 3: Cross multiply
    1,024.46x = 1,413.75 × 582.43
  4. Step 4: Simplify right side
    1,024.46x = 823,410.41
  5. Step 5: Solve for x
    x = 823,410.41/1,024.46
  6. Step 6: Final answer
    x = 803.75

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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.