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Finding the Fourth Proportional to 845.28, 1,260.34 and 813.18

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Solution

The fourth proportional to 845.28, 1,260.34 and 813.18 is: 1,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.28 : 1,260.34 = 813.18 : x
  2. Step 2: Convert to fraction form
    845.28/1,260.34 = 813.18/x
  3. Step 3: Cross multiply
    845.28x = 1,260.34 × 813.18
  4. Step 4: Simplify right side
    845.28x = 1,024,883.28
  5. Step 5: Solve for x
    x = 1,024,883.28/845.28
  6. Step 6: Final answer
    x = 1,212.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.