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Finding the Fourth Proportional to 845.10, 1,166.46 and 513.75

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Solution

The fourth proportional to 845.10, 1,166.46 and 513.75 is: 709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.10 : 1,166.46 = 513.75 : x
  2. Step 2: Convert to fraction form
    845.10/1,166.46 = 513.75/x
  3. Step 3: Cross multiply
    845.10x = 1,166.46 × 513.75
  4. Step 4: Simplify right side
    845.10x = 599,268.83
  5. Step 5: Solve for x
    x = 599,268.83/845.10
  6. Step 6: Final answer
    x = 709.11

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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.