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Finding the Fourth Proportional to 866.18, 1,298.04 and 378.96

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Solution

The fourth proportional to 866.18, 1,298.04 and 378.96 is: 567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.18 : 1,298.04 = 378.96 : x
  2. Step 2: Convert to fraction form
    866.18/1,298.04 = 378.96/x
  3. Step 3: Cross multiply
    866.18x = 1,298.04 × 378.96
  4. Step 4: Simplify right side
    866.18x = 491,905.24
  5. Step 5: Solve for x
    x = 491,905.24/866.18
  6. Step 6: Final answer
    x = 567.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.