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Finding the Fourth Proportional to 1,413.23, 1,950.12 and 823.79

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Solution

The fourth proportional to 1,413.23, 1,950.12 and 823.79 is: 1,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.23 : 1,950.12 = 823.79 : x
  2. Step 2: Convert to fraction form
    1,413.23/1,950.12 = 823.79/x
  3. Step 3: Cross multiply
    1,413.23x = 1,950.12 × 823.79
  4. Step 4: Simplify right side
    1,413.23x = 1,606,489.35
  5. Step 5: Solve for x
    x = 1,606,489.35/1,413.23
  6. Step 6: Final answer
    x = 1,136.75

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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.