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Finding the Fourth Proportional to 866.04, 1,298.14 and 378.96

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Solution

The fourth proportional to 866.04, 1,298.14 and 378.96 is: 568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.04 : 1,298.14 = 378.96 : x
  2. Step 2: Convert to fraction form
    866.04/1,298.14 = 378.96/x
  3. Step 3: Cross multiply
    866.04x = 1,298.14 × 378.96
  4. Step 4: Simplify right side
    866.04x = 491,943.13
  5. Step 5: Solve for x
    x = 491,943.13/866.04
  6. Step 6: Final answer
    x = 568.04

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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.