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Finding the Fourth Proportional to 1,039.44, 1,435.82 and 831.07

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Solution

The fourth proportional to 1,039.44, 1,435.82 and 831.07 is: 1,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.44 : 1,435.82 = 831.07 : x
  2. Step 2: Convert to fraction form
    1,039.44/1,435.82 = 831.07/x
  3. Step 3: Cross multiply
    1,039.44x = 1,435.82 × 831.07
  4. Step 4: Simplify right side
    1,039.44x = 1,193,266.93
  5. Step 5: Solve for x
    x = 1,193,266.93/1,039.44
  6. Step 6: Final answer
    x = 1,147.99

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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.