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Finding the Fourth Proportional to 866.46, 1,298.97 and 404

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Solution

The fourth proportional to 866.46, 1,298.97 and 404 is: 605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.46 : 1,298.97 = 404 : x
  2. Step 2: Convert to fraction form
    866.46/1,298.97 = 404/x
  3. Step 3: Cross multiply
    866.46x = 1,298.97 × 404
  4. Step 4: Simplify right side
    866.46x = 524,783.88
  5. Step 5: Solve for x
    x = 524,783.88/866.46
  6. Step 6: Final answer
    x = 605.66

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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.