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Finding the Fourth Proportional to 905.21, 1,248.26 and 805.31

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Solution

The fourth proportional to 905.21, 1,248.26 and 805.31 is: 1,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.21 : 1,248.26 = 805.31 : x
  2. Step 2: Convert to fraction form
    905.21/1,248.26 = 805.31/x
  3. Step 3: Cross multiply
    905.21x = 1,248.26 × 805.31
  4. Step 4: Simplify right side
    905.21x = 1,005,225.99
  5. Step 5: Solve for x
    x = 1,005,225.99/905.21
  6. Step 6: Final answer
    x = 1,110.50

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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.