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Finding the Fourth Proportional to 1,137.40, 1,705.30 and 443.80

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Solution

The fourth proportional to 1,137.40, 1,705.30 and 443.80 is: 665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.40 : 1,705.30 = 443.80 : x
  2. Step 2: Convert to fraction form
    1,137.40/1,705.30 = 443.80/x
  3. Step 3: Cross multiply
    1,137.40x = 1,705.30 × 443.80
  4. Step 4: Simplify right side
    1,137.40x = 756,812.14
  5. Step 5: Solve for x
    x = 756,812.14/1,137.40
  6. Step 6: Final answer
    x = 665.39

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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.