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Finding the Fourth Proportional to 1,733.98, 2,601.33 and 638.30

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Solution

The fourth proportional to 1,733.98, 2,601.33 and 638.30 is: 957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.98 : 2,601.33 = 638.30 : x
  2. Step 2: Convert to fraction form
    1,733.98/2,601.33 = 638.30/x
  3. Step 3: Cross multiply
    1,733.98x = 2,601.33 × 638.30
  4. Step 4: Simplify right side
    1,733.98x = 1,660,428.94
  5. Step 5: Solve for x
    x = 1,660,428.94/1,733.98
  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.