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Finding the Fourth Proportional to 1,023.75, 1,413.41 and 802.17

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Solution

The fourth proportional to 1,023.75, 1,413.41 and 802.17 is: 1,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.75 : 1,413.41 = 802.17 : x
  2. Step 2: Convert to fraction form
    1,023.75/1,413.41 = 802.17/x
  3. Step 3: Cross multiply
    1,023.75x = 1,413.41 × 802.17
  4. Step 4: Simplify right side
    1,023.75x = 1,133,791.09
  5. Step 5: Solve for x
    x = 1,133,791.09/1,023.75
  6. Step 6: Final answer
    x = 1,107.49

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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.