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Finding the Fourth Proportional to 788.68, 1,182.96 and 355.84

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Solution

The fourth proportional to 788.68, 1,182.96 and 355.84 is: 533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.68 : 1,182.96 = 355.84 : x
  2. Step 2: Convert to fraction form
    788.68/1,182.96 = 355.84/x
  3. Step 3: Cross multiply
    788.68x = 1,182.96 × 355.84
  4. Step 4: Simplify right side
    788.68x = 420,944.49
  5. Step 5: Solve for x
    x = 420,944.49/788.68
  6. Step 6: Final answer
    x = 533.73

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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.