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Finding the Fourth Proportional to 788.36, 1,181.82 and 275.08

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Solution

The fourth proportional to 788.36, 1,181.82 and 275.08 is: 412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.36 : 1,181.82 = 275.08 : x
  2. Step 2: Convert to fraction form
    788.36/1,181.82 = 275.08/x
  3. Step 3: Cross multiply
    788.36x = 1,181.82 × 275.08
  4. Step 4: Simplify right side
    788.36x = 325,095.05
  5. Step 5: Solve for x
    x = 325,095.05/788.36
  6. Step 6: Final answer
    x = 412.37

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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.