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Finding the Fourth Proportional to 788.13, 1,181.93 and 267.99

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Solution

The fourth proportional to 788.13, 1,181.93 and 267.99 is: 401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.13 : 1,181.93 = 267.99 : x
  2. Step 2: Convert to fraction form
    788.13/1,181.93 = 267.99/x
  3. Step 3: Cross multiply
    788.13x = 1,181.93 × 267.99
  4. Step 4: Simplify right side
    788.13x = 316,744.08
  5. Step 5: Solve for x
    x = 316,744.08/788.13
  6. Step 6: Final answer
    x = 401.89

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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.