Home / 1,413.06-1,950.24-823.92

Finding the Fourth Proportional to 1,413.06, 1,950.24 and 823.92

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Solution

The fourth proportional to 1,413.06, 1,950.24 and 823.92 is: 1,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.06 : 1,950.24 = 823.92 : x
  2. Step 2: Convert to fraction form
    1,413.06/1,950.24 = 823.92/x
  3. Step 3: Cross multiply
    1,413.06x = 1,950.24 × 823.92
  4. Step 4: Simplify right side
    1,413.06x = 1,606,841.74
  5. Step 5: Solve for x
    x = 1,606,841.74/1,413.06
  6. Step 6: Final answer
    x = 1,137.14

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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.