Home / 1,024.05-1,413.26-582.04

Finding the Fourth Proportional to 1,024.05, 1,413.26 and 582.04

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Solution

The fourth proportional to 1,024.05, 1,413.26 and 582.04 is: 803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.05 : 1,413.26 = 582.04 : x
  2. Step 2: Convert to fraction form
    1,024.05/1,413.26 = 582.04/x
  3. Step 3: Cross multiply
    1,024.05x = 1,413.26 × 582.04
  4. Step 4: Simplify right side
    1,024.05x = 822,570.94
  5. Step 5: Solve for x
    x = 822,570.94/1,024.05
  6. Step 6: Final answer
    x = 803.25

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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.