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Finding the Fourth Proportional to 1,446.28, 2,169.43 and 521.63

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Solution

The fourth proportional to 1,446.28, 2,169.43 and 521.63 is: 782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.28 : 2,169.43 = 521.63 : x
  2. Step 2: Convert to fraction form
    1,446.28/2,169.43 = 521.63/x
  3. Step 3: Cross multiply
    1,446.28x = 2,169.43 × 521.63
  4. Step 4: Simplify right side
    1,446.28x = 1,131,639.77
  5. Step 5: Solve for x
    x = 1,131,639.77/1,446.28
  6. Step 6: Final answer
    x = 782.45

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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.