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Finding the Fourth Proportional to 947.16, 1,413.41 and 837.81

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Solution

The fourth proportional to 947.16, 1,413.41 and 837.81 is: 1,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.16 : 1,413.41 = 837.81 : x
  2. Step 2: Convert to fraction form
    947.16/1,413.41 = 837.81/x
  3. Step 3: Cross multiply
    947.16x = 1,413.41 × 837.81
  4. Step 4: Simplify right side
    947.16x = 1,184,164.84
  5. Step 5: Solve for x
    x = 1,184,164.84/947.16
  6. Step 6: Final answer
    x = 1,250.23

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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.