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Finding the Fourth Proportional to 1,028.82, 1,421.34 and 831.99

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Solution

The fourth proportional to 1,028.82, 1,421.34 and 831.99 is: 1,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.82 : 1,421.34 = 831.99 : x
  2. Step 2: Convert to fraction form
    1,028.82/1,421.34 = 831.99/x
  3. Step 3: Cross multiply
    1,028.82x = 1,421.34 × 831.99
  4. Step 4: Simplify right side
    1,028.82x = 1,182,540.67
  5. Step 5: Solve for x
    x = 1,182,540.67/1,028.82
  6. Step 6: Final answer
    x = 1,149.41

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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.