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Finding the Fourth Proportional to 857.66, 1,284.76 and 394.80

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Solution

The fourth proportional to 857.66, 1,284.76 and 394.80 is: 591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.66 : 1,284.76 = 394.80 : x
  2. Step 2: Convert to fraction form
    857.66/1,284.76 = 394.80/x
  3. Step 3: Cross multiply
    857.66x = 1,284.76 × 394.80
  4. Step 4: Simplify right side
    857.66x = 507,218.92
  5. Step 5: Solve for x
    x = 507,218.92/857.66
  6. Step 6: Final answer
    x = 591.40

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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.