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Finding the Fourth Proportional to 1,201.63, 1,658.09 and 704.15

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Solution

The fourth proportional to 1,201.63, 1,658.09 and 704.15 is: 971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.63 : 1,658.09 = 704.15 : x
  2. Step 2: Convert to fraction form
    1,201.63/1,658.09 = 704.15/x
  3. Step 3: Cross multiply
    1,201.63x = 1,658.09 × 704.15
  4. Step 4: Simplify right side
    1,201.63x = 1,167,540.55
  5. Step 5: Solve for x
    x = 1,167,540.55/1,201.63
  6. Step 6: Final answer
    x = 971.63

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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.