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Finding the Fourth Proportional to 1,413.02, 1,950.43 and 823.44

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Solution

The fourth proportional to 1,413.02, 1,950.43 and 823.44 is: 1,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.02 : 1,950.43 = 823.44 : x
  2. Step 2: Convert to fraction form
    1,413.02/1,950.43 = 823.44/x
  3. Step 3: Cross multiply
    1,413.02x = 1,950.43 × 823.44
  4. Step 4: Simplify right side
    1,413.02x = 1,606,062.08
  5. Step 5: Solve for x
    x = 1,606,062.08/1,413.02
  6. Step 6: Final answer
    x = 1,136.62

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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.