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Finding the Fourth Proportional to 678, 1,017 and 461.46

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Solution

The fourth proportional to 678, 1,017 and 461.46 is: 692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    678 : 1,017 = 461.46 : x
  2. Step 2: Convert to fraction form
    678/1,017 = 461.46/x
  3. Step 3: Cross multiply
    678x = 1,017 × 461.46
  4. Step 4: Simplify right side
    678x = 469,304.82
  5. Step 5: Solve for x
    x = 469,304.82/678
  6. Step 6: Final answer
    x = 692.19

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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.