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Finding the Fourth Proportional to 1,048.83, 1,447.37 and 717.25

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Solution

The fourth proportional to 1,048.83, 1,447.37 and 717.25 is: 989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.83 : 1,447.37 = 717.25 : x
  2. Step 2: Convert to fraction form
    1,048.83/1,447.37 = 717.25/x
  3. Step 3: Cross multiply
    1,048.83x = 1,447.37 × 717.25
  4. Step 4: Simplify right side
    1,048.83x = 1,038,120.26
  5. Step 5: Solve for x
    x = 1,038,120.26/1,048.83
  6. Step 6: Final answer
    x = 989.79

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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.