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Finding the Fourth Proportional to 1,201.52, 1,656.36 and 869.42

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Solution

The fourth proportional to 1,201.52, 1,656.36 and 869.42 is: 1,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.52 : 1,656.36 = 869.42 : x
  2. Step 2: Convert to fraction form
    1,201.52/1,656.36 = 869.42/x
  3. Step 3: Cross multiply
    1,201.52x = 1,656.36 × 869.42
  4. Step 4: Simplify right side
    1,201.52x = 1,440,072.51
  5. Step 5: Solve for x
    x = 1,440,072.51/1,201.52
  6. Step 6: Final answer
    x = 1,198.54

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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.