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Finding the Fourth Proportional to 1,144.35, 1,577.81 and 966.99

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Solution

The fourth proportional to 1,144.35, 1,577.81 and 966.99 is: 1,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.35 : 1,577.81 = 966.99 : x
  2. Step 2: Convert to fraction form
    1,144.35/1,577.81 = 966.99/x
  3. Step 3: Cross multiply
    1,144.35x = 1,577.81 × 966.99
  4. Step 4: Simplify right side
    1,144.35x = 1,525,726.49
  5. Step 5: Solve for x
    x = 1,525,726.49/1,144.35
  6. Step 6: Final answer
    x = 1,333.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.