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Finding the Fourth Proportional to 902.89, 1,248.11 and 643.15

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Solution

The fourth proportional to 902.89, 1,248.11 and 643.15 is: 889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.89 : 1,248.11 = 643.15 : x
  2. Step 2: Convert to fraction form
    902.89/1,248.11 = 643.15/x
  3. Step 3: Cross multiply
    902.89x = 1,248.11 × 643.15
  4. Step 4: Simplify right side
    902.89x = 802,721.95
  5. Step 5: Solve for x
    x = 802,721.95/902.89
  6. Step 6: Final answer
    x = 889.06

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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.