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Finding the Fourth Proportional to 1,201.29, 1,658.07 and 704.22

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Solution

The fourth proportional to 1,201.29, 1,658.07 and 704.22 is: 971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.29 : 1,658.07 = 704.22 : x
  2. Step 2: Convert to fraction form
    1,201.29/1,658.07 = 704.22/x
  3. Step 3: Cross multiply
    1,201.29x = 1,658.07 × 704.22
  4. Step 4: Simplify right side
    1,201.29x = 1,167,646.06
  5. Step 5: Solve for x
    x = 1,167,646.06/1,201.29
  6. Step 6: Final answer
    x = 971.99

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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.