Home / 1,024.26-1,413.58-604.75

Finding the Fourth Proportional to 1,024.26, 1,413.58 and 604.75

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Solution

The fourth proportional to 1,024.26, 1,413.58 and 604.75 is: 834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.26 : 1,413.58 = 604.75 : x
  2. Step 2: Convert to fraction form
    1,024.26/1,413.58 = 604.75/x
  3. Step 3: Cross multiply
    1,024.26x = 1,413.58 × 604.75
  4. Step 4: Simplify right side
    1,024.26x = 854,860.48
  5. Step 5: Solve for x
    x = 854,860.48/1,024.26
  6. Step 6: Final answer
    x = 834.61

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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.