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Finding the Fourth Proportional to 667.36, 1,000.68 and 461.98

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Solution

The fourth proportional to 667.36, 1,000.68 and 461.98 is: 692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.36 : 1,000.68 = 461.98 : x
  2. Step 2: Convert to fraction form
    667.36/1,000.68 = 461.98/x
  3. Step 3: Cross multiply
    667.36x = 1,000.68 × 461.98
  4. Step 4: Simplify right side
    667.36x = 462,294.15
  5. Step 5: Solve for x
    x = 462,294.15/667.36
  6. Step 6: Final answer
    x = 692.72

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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.