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Finding the Fourth Proportional to 788.46, 1,182.69 and 203.41

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Solution

The fourth proportional to 788.46, 1,182.69 and 203.41 is: 305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.46 : 1,182.69 = 203.41 : x
  2. Step 2: Convert to fraction form
    788.46/1,182.69 = 203.41/x
  3. Step 3: Cross multiply
    788.46x = 1,182.69 × 203.41
  4. Step 4: Simplify right side
    788.46x = 240,573.55
  5. Step 5: Solve for x
    x = 240,573.55/788.46
  6. Step 6: Final answer
    x = 305.12

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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.