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Finding the Fourth Proportional to 788.43, 1,182.65 and 211.32

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Solution

The fourth proportional to 788.43, 1,182.65 and 211.32 is: 316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.43 : 1,182.65 = 211.32 : x
  2. Step 2: Convert to fraction form
    788.43/1,182.65 = 211.32/x
  3. Step 3: Cross multiply
    788.43x = 1,182.65 × 211.32
  4. Step 4: Simplify right side
    788.43x = 249,916.54
  5. Step 5: Solve for x
    x = 249,916.54/788.43
  6. Step 6: Final answer
    x = 316.98

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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.