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Finding the Fourth Proportional to 1,201.93, 1,658.50 and 736.09

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Solution

The fourth proportional to 1,201.93, 1,658.50 and 736.09 is: 1,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.93 : 1,658.50 = 736.09 : x
  2. Step 2: Convert to fraction form
    1,201.93/1,658.50 = 736.09/x
  3. Step 3: Cross multiply
    1,201.93x = 1,658.50 × 736.09
  4. Step 4: Simplify right side
    1,201.93x = 1,220,805.27
  5. Step 5: Solve for x
    x = 1,220,805.27/1,201.93
  6. Step 6: Final answer
    x = 1,015.70

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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.