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Finding the Fourth Proportional to 788.52, 1,182.62 and 211.26

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Solution

The fourth proportional to 788.52, 1,182.62 and 211.26 is: 316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.52 : 1,182.62 = 211.26 : x
  2. Step 2: Convert to fraction form
    788.52/1,182.62 = 211.26/x
  3. Step 3: Cross multiply
    788.52x = 1,182.62 × 211.26
  4. Step 4: Simplify right side
    788.52x = 249,840.30
  5. Step 5: Solve for x
    x = 249,840.30/788.52
  6. Step 6: Final answer
    x = 316.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.