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Finding the Fourth Proportional to 845.24, 1,166.34 and 549.96

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Solution

The fourth proportional to 845.24, 1,166.34 and 549.96 is: 758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.24 : 1,166.34 = 549.96 : x
  2. Step 2: Convert to fraction form
    845.24/1,166.34 = 549.96/x
  3. Step 3: Cross multiply
    845.24x = 1,166.34 × 549.96
  4. Step 4: Simplify right side
    845.24x = 641,440.35
  5. Step 5: Solve for x
    x = 641,440.35/845.24
  6. Step 6: Final answer
    x = 758.89

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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.