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Finding the Fourth Proportional to 845.54, 1,166.94 and 513.87

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Solution

The fourth proportional to 845.54, 1,166.94 and 513.87 is: 709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.54 : 1,166.94 = 513.87 : x
  2. Step 2: Convert to fraction form
    845.54/1,166.94 = 513.87/x
  3. Step 3: Cross multiply
    845.54x = 1,166.94 × 513.87
  4. Step 4: Simplify right side
    845.54x = 599,655.46
  5. Step 5: Solve for x
    x = 599,655.46/845.54
  6. Step 6: Final answer
    x = 709.20

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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.