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Finding the Fourth Proportional to 667.17, 997.80 and 594.54

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Solution

The fourth proportional to 667.17, 997.80 and 594.54 is: 889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.17 : 997.80 = 594.54 : x
  2. Step 2: Convert to fraction form
    667.17/997.80 = 594.54/x
  3. Step 3: Cross multiply
    667.17x = 997.80 × 594.54
  4. Step 4: Simplify right side
    667.17x = 593,232.01
  5. Step 5: Solve for x
    x = 593,232.01/667.17
  6. Step 6: Final answer
    x = 889.18

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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.