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Finding the Fourth Proportional to 967.01, 1,448.82 and 748.04

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Solution

The fourth proportional to 967.01, 1,448.82 and 748.04 is: 1,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.01 : 1,448.82 = 748.04 : x
  2. Step 2: Convert to fraction form
    967.01/1,448.82 = 748.04/x
  3. Step 3: Cross multiply
    967.01x = 1,448.82 × 748.04
  4. Step 4: Simplify right side
    967.01x = 1,083,768.07
  5. Step 5: Solve for x
    x = 1,083,768.07/967.01
  6. Step 6: Final answer
    x = 1,120.75

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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.