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Finding the Fourth Proportional to 1,334.70, 1,999.87 and 967.77

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Solution

The fourth proportional to 1,334.70, 1,999.87 and 967.77 is: 1,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.70 : 1,999.87 = 967.77 : x
  2. Step 2: Convert to fraction form
    1,334.70/1,999.87 = 967.77/x
  3. Step 3: Cross multiply
    1,334.70x = 1,999.87 × 967.77
  4. Step 4: Simplify right side
    1,334.70x = 1,935,414.19
  5. Step 5: Solve for x
    x = 1,935,414.19/1,334.70
  6. Step 6: Final answer
    x = 1,450.07

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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.