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Finding the Fourth Proportional to 1,201.32, 1,659.01 and 829.26

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Solution

The fourth proportional to 1,201.32, 1,659.01 and 829.26 is: 1,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.32 : 1,659.01 = 829.26 : x
  2. Step 2: Convert to fraction form
    1,201.32/1,659.01 = 829.26/x
  3. Step 3: Cross multiply
    1,201.32x = 1,659.01 × 829.26
  4. Step 4: Simplify right side
    1,201.32x = 1,375,746.49
  5. Step 5: Solve for x
    x = 1,375,746.49/1,201.32
  6. Step 6: Final answer
    x = 1,145.20

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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.