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Finding the Fourth Proportional to 934.21, 1,285.98 and 808.12

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Solution

The fourth proportional to 934.21, 1,285.98 and 808.12 is: 1,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.21 : 1,285.98 = 808.12 : x
  2. Step 2: Convert to fraction form
    934.21/1,285.98 = 808.12/x
  3. Step 3: Cross multiply
    934.21x = 1,285.98 × 808.12
  4. Step 4: Simplify right side
    934.21x = 1,039,226.16
  5. Step 5: Solve for x
    x = 1,039,226.16/934.21
  6. Step 6: Final answer
    x = 1,112.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.