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Finding the Fourth Proportional to 1,100.79, 1,519.23 and 628.59

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Solution

The fourth proportional to 1,100.79, 1,519.23 and 628.59 is: 867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.79 : 1,519.23 = 628.59 : x
  2. Step 2: Convert to fraction form
    1,100.79/1,519.23 = 628.59/x
  3. Step 3: Cross multiply
    1,100.79x = 1,519.23 × 628.59
  4. Step 4: Simplify right side
    1,100.79x = 954,980.84
  5. Step 5: Solve for x
    x = 954,980.84/1,100.79
  6. Step 6: Final answer
    x = 867.54

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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.