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Finding the Fourth Proportional to 890.52, 1,227.44 and 595.68

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Solution

The fourth proportional to 890.52, 1,227.44 and 595.68 is: 821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.52 : 1,227.44 = 595.68 : x
  2. Step 2: Convert to fraction form
    890.52/1,227.44 = 595.68/x
  3. Step 3: Cross multiply
    890.52x = 1,227.44 × 595.68
  4. Step 4: Simplify right side
    890.52x = 731,161.46
  5. Step 5: Solve for x
    x = 731,161.46/890.52
  6. Step 6: Final answer
    x = 821.05

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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.