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Finding the Fourth Proportional to 1,494.46, 2,062.20 and 831.26

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Solution

The fourth proportional to 1,494.46, 2,062.20 and 831.26 is: 1,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.46 : 2,062.20 = 831.26 : x
  2. Step 2: Convert to fraction form
    1,494.46/2,062.20 = 831.26/x
  3. Step 3: Cross multiply
    1,494.46x = 2,062.20 × 831.26
  4. Step 4: Simplify right side
    1,494.46x = 1,714,224.37
  5. Step 5: Solve for x
    x = 1,714,224.37/1,494.46
  6. Step 6: Final answer
    x = 1,147.05

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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.