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Finding the Fourth Proportional to 716.31, 1,074.83 and 283.83

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Solution

The fourth proportional to 716.31, 1,074.83 and 283.83 is: 425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.31 : 1,074.83 = 283.83 : x
  2. Step 2: Convert to fraction form
    716.31/1,074.83 = 283.83/x
  3. Step 3: Cross multiply
    716.31x = 1,074.83 × 283.83
  4. Step 4: Simplify right side
    716.31x = 305,067.58
  5. Step 5: Solve for x
    x = 305,067.58/716.31
  6. Step 6: Final answer
    x = 425.89

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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.