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Finding the Fourth Proportional to 1,428.96, 1,971.96 and 831.54

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Solution

The fourth proportional to 1,428.96, 1,971.96 and 831.54 is: 1,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.96 : 1,971.96 = 831.54 : x
  2. Step 2: Convert to fraction form
    1,428.96/1,971.96 = 831.54/x
  3. Step 3: Cross multiply
    1,428.96x = 1,971.96 × 831.54
  4. Step 4: Simplify right side
    1,428.96x = 1,639,763.62
  5. Step 5: Solve for x
    x = 1,639,763.62/1,428.96
  6. Step 6: Final answer
    x = 1,147.52

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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.