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Finding the Fourth Proportional to 1,171.17, 1,614.56 and 839.48

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Solution

The fourth proportional to 1,171.17, 1,614.56 and 839.48 is: 1,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.17 : 1,614.56 = 839.48 : x
  2. Step 2: Convert to fraction form
    1,171.17/1,614.56 = 839.48/x
  3. Step 3: Cross multiply
    1,171.17x = 1,614.56 × 839.48
  4. Step 4: Simplify right side
    1,171.17x = 1,355,378.56
  5. Step 5: Solve for x
    x = 1,355,378.56/1,171.17
  6. Step 6: Final answer
    x = 1,157.29

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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.