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Finding the Fourth Proportional to 768.90, 1,154.70 and 744.60

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Solution

The fourth proportional to 768.90, 1,154.70 and 744.60 is: 1,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.90 : 1,154.70 = 744.60 : x
  2. Step 2: Convert to fraction form
    768.90/1,154.70 = 744.60/x
  3. Step 3: Cross multiply
    768.90x = 1,154.70 × 744.60
  4. Step 4: Simplify right side
    768.90x = 859,789.62
  5. Step 5: Solve for x
    x = 859,789.62/768.90
  6. Step 6: Final answer
    x = 1,118.21

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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.