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Finding the Fourth Proportional to 890.44, 1,227.66 and 595.48

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Solution

The fourth proportional to 890.44, 1,227.66 and 595.48 is: 821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.44 : 1,227.66 = 595.48 : x
  2. Step 2: Convert to fraction form
    890.44/1,227.66 = 595.48/x
  3. Step 3: Cross multiply
    890.44x = 1,227.66 × 595.48
  4. Step 4: Simplify right side
    890.44x = 731,046.98
  5. Step 5: Solve for x
    x = 731,046.98/890.44
  6. Step 6: Final answer
    x = 821.00

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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.