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Finding the Fourth Proportional to 788.85, 1,181.44 and 700.90

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Solution

The fourth proportional to 788.85, 1,181.44 and 700.90 is: 1,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.85 : 1,181.44 = 700.90 : x
  2. Step 2: Convert to fraction form
    788.85/1,181.44 = 700.90/x
  3. Step 3: Cross multiply
    788.85x = 1,181.44 × 700.90
  4. Step 4: Simplify right side
    788.85x = 828,071.30
  5. Step 5: Solve for x
    x = 828,071.30/788.85
  6. Step 6: Final answer
    x = 1,049.72

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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.