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Finding the Fourth Proportional to 1,429.82, 2,144.91 and 442.70

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Solution

The fourth proportional to 1,429.82, 2,144.91 and 442.70 is: 664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.82 : 2,144.91 = 442.70 : x
  2. Step 2: Convert to fraction form
    1,429.82/2,144.91 = 442.70/x
  3. Step 3: Cross multiply
    1,429.82x = 2,144.91 × 442.70
  4. Step 4: Simplify right side
    1,429.82x = 949,550.64
  5. Step 5: Solve for x
    x = 949,550.64/1,429.82
  6. Step 6: Final answer
    x = 664.11

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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.