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Finding the Fourth Proportional to 902.67, 1,244.70 and 623.04

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Solution

The fourth proportional to 902.67, 1,244.70 and 623.04 is: 859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.67 : 1,244.70 = 623.04 : x
  2. Step 2: Convert to fraction form
    902.67/1,244.70 = 623.04/x
  3. Step 3: Cross multiply
    902.67x = 1,244.70 × 623.04
  4. Step 4: Simplify right side
    902.67x = 775,497.89
  5. Step 5: Solve for x
    x = 775,497.89/902.67
  6. Step 6: Final answer
    x = 859.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.