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Finding the Fourth Proportional to 1,317.82, 1,818.60 and 728.39

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Solution

The fourth proportional to 1,317.82, 1,818.60 and 728.39 is: 1,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.82 : 1,818.60 = 728.39 : x
  2. Step 2: Convert to fraction form
    1,317.82/1,818.60 = 728.39/x
  3. Step 3: Cross multiply
    1,317.82x = 1,818.60 × 728.39
  4. Step 4: Simplify right side
    1,317.82x = 1,324,655.97
  5. Step 5: Solve for x
    x = 1,324,655.97/1,317.82
  6. Step 6: Final answer
    x = 1,005.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.