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Finding the Fourth Proportional to 1,201.20, 1,658.07 and 704.00

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Solution

The fourth proportional to 1,201.20, 1,658.07 and 704.00 is: 971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.20 : 1,658.07 = 704.00 : x
  2. Step 2: Convert to fraction form
    1,201.20/1,658.07 = 704.00/x
  3. Step 3: Cross multiply
    1,201.20x = 1,658.07 × 704.00
  4. Step 4: Simplify right side
    1,201.20x = 1,167,269.47
  5. Step 5: Solve for x
    x = 1,167,269.47/1,201.20
  6. Step 6: Final answer
    x = 971.76

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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.