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Finding the Fourth Proportional to 1,328.87, 1,834.49 and 831.79

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Solution

The fourth proportional to 1,328.87, 1,834.49 and 831.79 is: 1,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.87 : 1,834.49 = 831.79 : x
  2. Step 2: Convert to fraction form
    1,328.87/1,834.49 = 831.79/x
  3. Step 3: Cross multiply
    1,328.87x = 1,834.49 × 831.79
  4. Step 4: Simplify right side
    1,328.87x = 1,525,907.93
  5. Step 5: Solve for x
    x = 1,525,907.93/1,328.87
  6. Step 6: Final answer
    x = 1,148.27

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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.