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Finding the Fourth Proportional to 788.36, 1,181.70 and 275.24

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Solution

The fourth proportional to 788.36, 1,181.70 and 275.24 is: 412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.36 : 1,181.70 = 275.24 : x
  2. Step 2: Convert to fraction form
    788.36/1,181.70 = 275.24/x
  3. Step 3: Cross multiply
    788.36x = 1,181.70 × 275.24
  4. Step 4: Simplify right side
    788.36x = 325,251.11
  5. Step 5: Solve for x
    x = 325,251.11/788.36
  6. Step 6: Final answer
    x = 412.57

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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.