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Finding the Fourth Proportional to 1,413.11, 1,949.76 and 823.32

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Solution

The fourth proportional to 1,413.11, 1,949.76 and 823.32 is: 1,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.11 : 1,949.76 = 823.32 : x
  2. Step 2: Convert to fraction form
    1,413.11/1,949.76 = 823.32/x
  3. Step 3: Cross multiply
    1,413.11x = 1,949.76 × 823.32
  4. Step 4: Simplify right side
    1,413.11x = 1,605,276.40
  5. Step 5: Solve for x
    x = 1,605,276.40/1,413.11
  6. Step 6: Final answer
    x = 1,135.99

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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.