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Finding the Fourth Proportional to 1,157.91, 1,600.01 and 825.76

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Solution

The fourth proportional to 1,157.91, 1,600.01 and 825.76 is: 1,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.91 : 1,600.01 = 825.76 : x
  2. Step 2: Convert to fraction form
    1,157.91/1,600.01 = 825.76/x
  3. Step 3: Cross multiply
    1,157.91x = 1,600.01 × 825.76
  4. Step 4: Simplify right side
    1,157.91x = 1,321,231.79
  5. Step 5: Solve for x
    x = 1,321,231.79/1,157.91
  6. Step 6: Final answer
    x = 1,141.04

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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.