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Finding the Fourth Proportional to 1,100.63, 1,519.49 and 728.51

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Solution

The fourth proportional to 1,100.63, 1,519.49 and 728.51 is: 1,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.63 : 1,519.49 = 728.51 : x
  2. Step 2: Convert to fraction form
    1,100.63/1,519.49 = 728.51/x
  3. Step 3: Cross multiply
    1,100.63x = 1,519.49 × 728.51
  4. Step 4: Simplify right side
    1,100.63x = 1,106,957.88
  5. Step 5: Solve for x
    x = 1,106,957.88/1,100.63
  6. Step 6: Final answer
    x = 1,005.75

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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.