Home / 1,024.24-1,413.56-582.16

Finding the Fourth Proportional to 1,024.24, 1,413.56 and 582.16

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Solution

The fourth proportional to 1,024.24, 1,413.56 and 582.16 is: 803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.24 : 1,413.56 = 582.16 : x
  2. Step 2: Convert to fraction form
    1,024.24/1,413.56 = 582.16/x
  3. Step 3: Cross multiply
    1,024.24x = 1,413.56 × 582.16
  4. Step 4: Simplify right side
    1,024.24x = 822,918.09
  5. Step 5: Solve for x
    x = 822,918.09/1,024.24
  6. Step 6: Final answer
    x = 803.44

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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.