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Finding the Fourth Proportional to 845.16, 1,166.04 and 513.48

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Solution

The fourth proportional to 845.16, 1,166.04 and 513.48 is: 708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.16 : 1,166.04 = 513.48 : x
  2. Step 2: Convert to fraction form
    845.16/1,166.04 = 513.48/x
  3. Step 3: Cross multiply
    845.16x = 1,166.04 × 513.48
  4. Step 4: Simplify right side
    845.16x = 598,738.22
  5. Step 5: Solve for x
    x = 598,738.22/845.16
  6. Step 6: Final answer
    x = 708.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.