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Finding the Fourth Proportional to 1,245.49, 1,717.80 and 966.58

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Solution

The fourth proportional to 1,245.49, 1,717.80 and 966.58 is: 1,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.49 : 1,717.80 = 966.58 : x
  2. Step 2: Convert to fraction form
    1,245.49/1,717.80 = 966.58/x
  3. Step 3: Cross multiply
    1,245.49x = 1,717.80 × 966.58
  4. Step 4: Simplify right side
    1,245.49x = 1,660,391.12
  5. Step 5: Solve for x
    x = 1,660,391.12/1,245.49
  6. Step 6: Final answer
    x = 1,333.12

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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.