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Finding the Fourth Proportional to 1,049.14, 1,573.70 and 638.39

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Solution

The fourth proportional to 1,049.14, 1,573.70 and 638.39 is: 957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.14 : 1,573.70 = 638.39 : x
  2. Step 2: Convert to fraction form
    1,049.14/1,573.70 = 638.39/x
  3. Step 3: Cross multiply
    1,049.14x = 1,573.70 × 638.39
  4. Step 4: Simplify right side
    1,049.14x = 1,004,634.34
  5. Step 5: Solve for x
    x = 1,004,634.34/1,049.14
  6. Step 6: Final answer
    x = 957.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.