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Finding the Fourth Proportional to 845.80, 1,278.27 and 831.42

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Solution

The fourth proportional to 845.80, 1,278.27 and 831.42 is: 1,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.80 : 1,278.27 = 831.42 : x
  2. Step 2: Convert to fraction form
    845.80/1,278.27 = 831.42/x
  3. Step 3: Cross multiply
    845.80x = 1,278.27 × 831.42
  4. Step 4: Simplify right side
    845.80x = 1,062,779.24
  5. Step 5: Solve for x
    x = 1,062,779.24/845.80
  6. Step 6: Final answer
    x = 1,256.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.