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Finding the Fourth Proportional to 1,100.59, 1,518.85 and 628.56

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Solution

The fourth proportional to 1,100.59, 1,518.85 and 628.56 is: 867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.59 : 1,518.85 = 628.56 : x
  2. Step 2: Convert to fraction form
    1,100.59/1,518.85 = 628.56/x
  3. Step 3: Cross multiply
    1,100.59x = 1,518.85 × 628.56
  4. Step 4: Simplify right side
    1,100.59x = 954,688.36
  5. Step 5: Solve for x
    x = 954,688.36/1,100.59
  6. Step 6: Final answer
    x = 867.44

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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.