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Finding the Fourth Proportional to 1,048.41, 1,447.09 and 606.49

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Solution

The fourth proportional to 1,048.41, 1,447.09 and 606.49 is: 837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.41 : 1,447.09 = 606.49 : x
  2. Step 2: Convert to fraction form
    1,048.41/1,447.09 = 606.49/x
  3. Step 3: Cross multiply
    1,048.41x = 1,447.09 × 606.49
  4. Step 4: Simplify right side
    1,048.41x = 877,640.48
  5. Step 5: Solve for x
    x = 877,640.48/1,048.41
  6. Step 6: Final answer
    x = 837.12

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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.