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Finding the Fourth Proportional to 1,201.92, 1,658.06 and 704.25

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Solution

The fourth proportional to 1,201.92, 1,658.06 and 704.25 is: 971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.92 : 1,658.06 = 704.25 : x
  2. Step 2: Convert to fraction form
    1,201.92/1,658.06 = 704.25/x
  3. Step 3: Cross multiply
    1,201.92x = 1,658.06 × 704.25
  4. Step 4: Simplify right side
    1,201.92x = 1,167,688.76
  5. Step 5: Solve for x
    x = 1,167,688.76/1,201.92
  6. Step 6: Final answer
    x = 971.52

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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.