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Finding the Fourth Proportional to 889.92, 1,227.96 and 595.08

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Solution

The fourth proportional to 889.92, 1,227.96 and 595.08 is: 821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.92 : 1,227.96 = 595.08 : x
  2. Step 2: Convert to fraction form
    889.92/1,227.96 = 595.08/x
  3. Step 3: Cross multiply
    889.92x = 1,227.96 × 595.08
  4. Step 4: Simplify right side
    889.92x = 730,734.44
  5. Step 5: Solve for x
    x = 730,734.44/889.92
  6. Step 6: Final answer
    x = 821.12

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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.