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Finding the Fourth Proportional to 1,446.71, 2,168.73 and 522.05

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Solution

The fourth proportional to 1,446.71, 2,168.73 and 522.05 is: 782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.71 : 2,168.73 = 522.05 : x
  2. Step 2: Convert to fraction form
    1,446.71/2,168.73 = 522.05/x
  3. Step 3: Cross multiply
    1,446.71x = 2,168.73 × 522.05
  4. Step 4: Simplify right side
    1,446.71x = 1,132,174.65
  5. Step 5: Solve for x
    x = 1,132,174.65/1,446.71
  6. Step 6: Final answer
    x = 782.59

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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.