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Finding the Fourth Proportional to 1,208.41, 1,668.23 and 742.93

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Solution

The fourth proportional to 1,208.41, 1,668.23 and 742.93 is: 1,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.41 : 1,668.23 = 742.93 : x
  2. Step 2: Convert to fraction form
    1,208.41/1,668.23 = 742.93/x
  3. Step 3: Cross multiply
    1,208.41x = 1,668.23 × 742.93
  4. Step 4: Simplify right side
    1,208.41x = 1,239,378.11
  5. Step 5: Solve for x
    x = 1,239,378.11/1,208.41
  6. Step 6: Final answer
    x = 1,025.63

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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.