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Finding the Fourth Proportional to 1,171.33, 1,614.85 and 971.41

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Solution

The fourth proportional to 1,171.33, 1,614.85 and 971.41 is: 1,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.33 : 1,614.85 = 971.41 : x
  2. Step 2: Convert to fraction form
    1,171.33/1,614.85 = 971.41/x
  3. Step 3: Cross multiply
    1,171.33x = 1,614.85 × 971.41
  4. Step 4: Simplify right side
    1,171.33x = 1,568,681.44
  5. Step 5: Solve for x
    x = 1,568,681.44/1,171.33
  6. Step 6: Final answer
    x = 1,339.23

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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.