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Finding the Fourth Proportional to 1,201.07, 1,658.66 and 829.01

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Solution

The fourth proportional to 1,201.07, 1,658.66 and 829.01 is: 1,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.07 : 1,658.66 = 829.01 : x
  2. Step 2: Convert to fraction form
    1,201.07/1,658.66 = 829.01/x
  3. Step 3: Cross multiply
    1,201.07x = 1,658.66 × 829.01
  4. Step 4: Simplify right side
    1,201.07x = 1,375,033.29
  5. Step 5: Solve for x
    x = 1,375,033.29/1,201.07
  6. Step 6: Final answer
    x = 1,144.85

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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.