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Finding the Fourth Proportional to 678.84, 1,018.02 and 294.12

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Solution

The fourth proportional to 678.84, 1,018.02 and 294.12 is: 441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.84 : 1,018.02 = 294.12 : x
  2. Step 2: Convert to fraction form
    678.84/1,018.02 = 294.12/x
  3. Step 3: Cross multiply
    678.84x = 1,018.02 × 294.12
  4. Step 4: Simplify right side
    678.84x = 299,420.04
  5. Step 5: Solve for x
    x = 299,420.04/678.84
  6. Step 6: Final answer
    x = 441.08

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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.