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Finding the Fourth Proportional to 1,201.53, 1,658.28 and 704.33

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Solution

The fourth proportional to 1,201.53, 1,658.28 and 704.33 is: 972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.53 : 1,658.28 = 704.33 : x
  2. Step 2: Convert to fraction form
    1,201.53/1,658.28 = 704.33/x
  3. Step 3: Cross multiply
    1,201.53x = 1,658.28 × 704.33
  4. Step 4: Simplify right side
    1,201.53x = 1,167,986.25
  5. Step 5: Solve for x
    x = 1,167,986.25/1,201.53
  6. Step 6: Final answer
    x = 972.08

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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.