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Finding the Fourth Proportional to 941.97, 1,413.69 and 893.81

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Solution

The fourth proportional to 941.97, 1,413.69 and 893.81 is: 1,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.97 : 1,413.69 = 893.81 : x
  2. Step 2: Convert to fraction form
    941.97/1,413.69 = 893.81/x
  3. Step 3: Cross multiply
    941.97x = 1,413.69 × 893.81
  4. Step 4: Simplify right side
    941.97x = 1,263,563.19
  5. Step 5: Solve for x
    x = 1,263,563.19/941.97
  6. Step 6: Final answer
    x = 1,341.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.