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Finding the Fourth Proportional to 1,197.25, 1,795.23 and 735.21

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Solution

The fourth proportional to 1,197.25, 1,795.23 and 735.21 is: 1,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.25 : 1,795.23 = 735.21 : x
  2. Step 2: Convert to fraction form
    1,197.25/1,795.23 = 735.21/x
  3. Step 3: Cross multiply
    1,197.25x = 1,795.23 × 735.21
  4. Step 4: Simplify right side
    1,197.25x = 1,319,871.05
  5. Step 5: Solve for x
    x = 1,319,871.05/1,197.25
  6. Step 6: Final answer
    x = 1,102.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.