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Finding the Fourth Proportional to 1,143.46, 1,578.41 and 701.96

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Solution

The fourth proportional to 1,143.46, 1,578.41 and 701.96 is: 968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.46 : 1,578.41 = 701.96 : x
  2. Step 2: Convert to fraction form
    1,143.46/1,578.41 = 701.96/x
  3. Step 3: Cross multiply
    1,143.46x = 1,578.41 × 701.96
  4. Step 4: Simplify right side
    1,143.46x = 1,107,980.68
  5. Step 5: Solve for x
    x = 1,107,980.68/1,143.46
  6. Step 6: Final answer
    x = 968.97

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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.