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Finding the Fourth Proportional to 1,413.10, 1,950.32 and 823.63

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Solution

The fourth proportional to 1,413.10, 1,950.32 and 823.63 is: 1,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.10 : 1,950.32 = 823.63 : x
  2. Step 2: Convert to fraction form
    1,413.10/1,950.32 = 823.63/x
  3. Step 3: Cross multiply
    1,413.10x = 1,950.32 × 823.63
  4. Step 4: Simplify right side
    1,413.10x = 1,606,342.06
  5. Step 5: Solve for x
    x = 1,606,342.06/1,413.10
  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.