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Finding the Fourth Proportional to 1,428.91, 1,972.16 and 831.48

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Solution

The fourth proportional to 1,428.91, 1,972.16 and 831.48 is: 1,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.91 : 1,972.16 = 831.48 : x
  2. Step 2: Convert to fraction form
    1,428.91/1,972.16 = 831.48/x
  3. Step 3: Cross multiply
    1,428.91x = 1,972.16 × 831.48
  4. Step 4: Simplify right side
    1,428.91x = 1,639,811.60
  5. Step 5: Solve for x
    x = 1,639,811.60/1,428.91
  6. Step 6: Final answer
    x = 1,147.60

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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.