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Finding the Fourth Proportional to 900.75, 1,243.23 and 585.46

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Solution

The fourth proportional to 900.75, 1,243.23 and 585.46 is: 808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.75 : 1,243.23 = 585.46 : x
  2. Step 2: Convert to fraction form
    900.75/1,243.23 = 585.46/x
  3. Step 3: Cross multiply
    900.75x = 1,243.23 × 585.46
  4. Step 4: Simplify right side
    900.75x = 727,861.44
  5. Step 5: Solve for x
    x = 727,861.44/900.75
  6. Step 6: Final answer
    x = 808.06

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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.