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Finding the Fourth Proportional to 845.31, 1,166.43 and 472.29

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Solution

The fourth proportional to 845.31, 1,166.43 and 472.29 is: 651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.31 : 1,166.43 = 472.29 : x
  2. Step 2: Convert to fraction form
    845.31/1,166.43 = 472.29/x
  3. Step 3: Cross multiply
    845.31x = 1,166.43 × 472.29
  4. Step 4: Simplify right side
    845.31x = 550,893.22
  5. Step 5: Solve for x
    x = 550,893.22/845.31
  6. Step 6: Final answer
    x = 651.71

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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.