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Finding the Fourth Proportional to 667.13, 996.64 and 557.78

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Solution

The fourth proportional to 667.13, 996.64 and 557.78 is: 833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.13 : 996.64 = 557.78 : x
  2. Step 2: Convert to fraction form
    667.13/996.64 = 557.78/x
  3. Step 3: Cross multiply
    667.13x = 996.64 × 557.78
  4. Step 4: Simplify right side
    667.13x = 555,899.48
  5. Step 5: Solve for x
    x = 555,899.48/667.13
  6. Step 6: Final answer
    x = 833.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.