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Finding the Fourth Proportional to 678.02, 1,017.03 and 191.09

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Solution

The fourth proportional to 678.02, 1,017.03 and 191.09 is: 286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.02 : 1,017.03 = 191.09 : x
  2. Step 2: Convert to fraction form
    678.02/1,017.03 = 191.09/x
  3. Step 3: Cross multiply
    678.02x = 1,017.03 × 191.09
  4. Step 4: Simplify right side
    678.02x = 194,344.26
  5. Step 5: Solve for x
    x = 194,344.26/678.02
  6. Step 6: Final answer
    x = 286.64

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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.