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Finding the Fourth Proportional to 857.14, 1,284.56 and 394.84

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Solution

The fourth proportional to 857.14, 1,284.56 and 394.84 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.14 : 1,284.56 = 394.84 : x
  2. Step 2: Convert to fraction form
    857.14/1,284.56 = 394.84/x
  3. Step 3: Cross multiply
    857.14x = 1,284.56 × 394.84
  4. Step 4: Simplify right side
    857.14x = 507,195.67
  5. Step 5: Solve for x
    x = 507,195.67/857.14
  6. Step 6: Final answer
    x = 591.73

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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.