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Finding the Fourth Proportional to 1,157.97, 1,598.02 and 826.96

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Solution

The fourth proportional to 1,157.97, 1,598.02 and 826.96 is: 1,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.97 : 1,598.02 = 826.96 : x
  2. Step 2: Convert to fraction form
    1,157.97/1,598.02 = 826.96/x
  3. Step 3: Cross multiply
    1,157.97x = 1,598.02 × 826.96
  4. Step 4: Simplify right side
    1,157.97x = 1,321,504.68
  5. Step 5: Solve for x
    x = 1,321,504.68/1,157.97
  6. Step 6: Final answer
    x = 1,141.22

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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.