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Finding the Fourth Proportional to 788.60, 1,181.82 and 514.28

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Solution

The fourth proportional to 788.60, 1,181.82 and 514.28 is: 770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.60 : 1,181.82 = 514.28 : x
  2. Step 2: Convert to fraction form
    788.60/1,181.82 = 514.28/x
  3. Step 3: Cross multiply
    788.60x = 1,181.82 × 514.28
  4. Step 4: Simplify right side
    788.60x = 607,786.39
  5. Step 5: Solve for x
    x = 607,786.39/788.60
  6. Step 6: Final answer
    x = 770.72

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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.