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Finding the Fourth Proportional to 678.12, 1,017.12 and 191.28

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Solution

The fourth proportional to 678.12, 1,017.12 and 191.28 is: 286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.12 : 1,017.12 = 191.28 : x
  2. Step 2: Convert to fraction form
    678.12/1,017.12 = 191.28/x
  3. Step 3: Cross multiply
    678.12x = 1,017.12 × 191.28
  4. Step 4: Simplify right side
    678.12x = 194,554.71
  5. Step 5: Solve for x
    x = 194,554.71/678.12
  6. Step 6: Final answer
    x = 286.90

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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.