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Finding the Fourth Proportional to 667.13, 1,005.70 and 622.53

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Solution

The fourth proportional to 667.13, 1,005.70 and 622.53 is: 938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.13 : 1,005.70 = 622.53 : x
  2. Step 2: Convert to fraction form
    667.13/1,005.70 = 622.53/x
  3. Step 3: Cross multiply
    667.13x = 1,005.70 × 622.53
  4. Step 4: Simplify right side
    667.13x = 626,078.42
  5. Step 5: Solve for x
    x = 626,078.42/667.13
  6. Step 6: Final answer
    x = 938.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.