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Finding the Fourth Proportional to 788.31, 1,182.57 and 422.60

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Solution

The fourth proportional to 788.31, 1,182.57 and 422.60 is: 633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.31 : 1,182.57 = 422.60 : x
  2. Step 2: Convert to fraction form
    788.31/1,182.57 = 422.60/x
  3. Step 3: Cross multiply
    788.31x = 1,182.57 × 422.60
  4. Step 4: Simplify right side
    788.31x = 499,746.58
  5. Step 5: Solve for x
    x = 499,746.58/788.31
  6. Step 6: Final answer
    x = 633.95

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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.