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Finding the Fourth Proportional to 788.25, 1,182.38 and 275.25

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Solution

The fourth proportional to 788.25, 1,182.38 and 275.25 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.25 : 1,182.38 = 275.25 : x
  2. Step 2: Convert to fraction form
    788.25/1,182.38 = 275.25/x
  3. Step 3: Cross multiply
    788.25x = 1,182.38 × 275.25
  4. Step 4: Simplify right side
    788.25x = 325,450.10
  5. Step 5: Solve for x
    x = 325,450.10/788.25
  6. Step 6: Final answer
    x = 412.88

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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.