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Finding the Fourth Proportional to 788.21, 1,182.34 and 268.26

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Solution

The fourth proportional to 788.21, 1,182.34 and 268.26 is: 402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.21 : 1,182.34 = 268.26 : x
  2. Step 2: Convert to fraction form
    788.21/1,182.34 = 268.26/x
  3. Step 3: Cross multiply
    788.21x = 1,182.34 × 268.26
  4. Step 4: Simplify right side
    788.21x = 317,170.43
  5. Step 5: Solve for x
    x = 317,170.43/788.21
  6. Step 6: Final answer
    x = 402.39

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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.