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Finding the Fourth Proportional to 947.30, 1,413.34 and 843.35

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Solution

The fourth proportional to 947.30, 1,413.34 and 843.35 is: 1,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.30 : 1,413.34 = 843.35 : x
  2. Step 2: Convert to fraction form
    947.30/1,413.34 = 843.35/x
  3. Step 3: Cross multiply
    947.30x = 1,413.34 × 843.35
  4. Step 4: Simplify right side
    947.30x = 1,191,940.29
  5. Step 5: Solve for x
    x = 1,191,940.29/947.30
  6. Step 6: Final answer
    x = 1,258.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.