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Finding the Fourth Proportional to 1,362.87, 1,880.30 and 831.61

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Solution

The fourth proportional to 1,362.87, 1,880.30 and 831.61 is: 1,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.87 : 1,880.30 = 831.61 : x
  2. Step 2: Convert to fraction form
    1,362.87/1,880.30 = 831.61/x
  3. Step 3: Cross multiply
    1,362.87x = 1,880.30 × 831.61
  4. Step 4: Simplify right side
    1,362.87x = 1,563,672.12
  5. Step 5: Solve for x
    x = 1,563,672.12/1,362.87
  6. Step 6: Final answer
    x = 1,147.34

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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.