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Finding the Fourth Proportional to 788.44, 1,182.64 and 211.32

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Solution

The fourth proportional to 788.44, 1,182.64 and 211.32 is: 316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.44 : 1,182.64 = 211.32 : x
  2. Step 2: Convert to fraction form
    788.44/1,182.64 = 211.32/x
  3. Step 3: Cross multiply
    788.44x = 1,182.64 × 211.32
  4. Step 4: Simplify right side
    788.44x = 249,909.57
  5. Step 5: Solve for x
    x = 249,909.57/788.44
  6. Step 6: Final answer
    x = 316.97

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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.