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Finding the Fourth Proportional to 1,323.84, 1,986.21 and 446.43

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Solution

The fourth proportional to 1,323.84, 1,986.21 and 446.43 is: 669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.84 : 1,986.21 = 446.43 : x
  2. Step 2: Convert to fraction form
    1,323.84/1,986.21 = 446.43/x
  3. Step 3: Cross multiply
    1,323.84x = 1,986.21 × 446.43
  4. Step 4: Simplify right side
    1,323.84x = 886,703.73
  5. Step 5: Solve for x
    x = 886,703.73/1,323.84
  6. Step 6: Final answer
    x = 669.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.