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Finding the Fourth Proportional to 1,202.01, 1,658.79 and 704.49

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Solution

The fourth proportional to 1,202.01, 1,658.79 and 704.49 is: 972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.01 : 1,658.79 = 704.49 : x
  2. Step 2: Convert to fraction form
    1,202.01/1,658.79 = 704.49/x
  3. Step 3: Cross multiply
    1,202.01x = 1,658.79 × 704.49
  4. Step 4: Simplify right side
    1,202.01x = 1,168,600.97
  5. Step 5: Solve for x
    x = 1,168,600.97/1,202.01
  6. Step 6: Final answer
    x = 972.21

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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.