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Finding the Fourth Proportional to 667.71, 1,001.57 and 623.97

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Solution

The fourth proportional to 667.71, 1,001.57 and 623.97 is: 935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.71 : 1,001.57 = 623.97 : x
  2. Step 2: Convert to fraction form
    667.71/1,001.57 = 623.97/x
  3. Step 3: Cross multiply
    667.71x = 1,001.57 × 623.97
  4. Step 4: Simplify right side
    667.71x = 624,946.51
  5. Step 5: Solve for x
    x = 624,946.51/667.71
  6. Step 6: Final answer
    x = 935.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.