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Finding the Fourth Proportional to 1,414.29, 2,120.36 and 644.25

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Solution

The fourth proportional to 1,414.29, 2,120.36 and 644.25 is: 965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.29 : 2,120.36 = 644.25 : x
  2. Step 2: Convert to fraction form
    1,414.29/2,120.36 = 644.25/x
  3. Step 3: Cross multiply
    1,414.29x = 2,120.36 × 644.25
  4. Step 4: Simplify right side
    1,414.29x = 1,366,038.71
  5. Step 5: Solve for x
    x = 1,366,038.71/1,414.29
  6. Step 6: Final answer
    x = 965.88

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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.