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Finding the Fourth Proportional to 845.67, 1,167.12 and 514.07

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Solution

The fourth proportional to 845.67, 1,167.12 and 514.07 is: 709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.67 : 1,167.12 = 514.07 : x
  2. Step 2: Convert to fraction form
    845.67/1,167.12 = 514.07/x
  3. Step 3: Cross multiply
    845.67x = 1,167.12 × 514.07
  4. Step 4: Simplify right side
    845.67x = 599,975.54
  5. Step 5: Solve for x
    x = 599,975.54/845.67
  6. Step 6: Final answer
    x = 709.47

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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.