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Finding the Fourth Proportional to 1,494.39, 2,062.06 and 831.23

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Solution

The fourth proportional to 1,494.39, 2,062.06 and 831.23 is: 1,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.39 : 2,062.06 = 831.23 : x
  2. Step 2: Convert to fraction form
    1,494.39/2,062.06 = 831.23/x
  3. Step 3: Cross multiply
    1,494.39x = 2,062.06 × 831.23
  4. Step 4: Simplify right side
    1,494.39x = 1,714,033.75
  5. Step 5: Solve for x
    x = 1,714,033.75/1,494.39
  6. Step 6: Final answer
    x = 1,146.98

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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.