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Finding the Fourth Proportional to 1,100.47, 1,518.56 and 628.41

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Solution

The fourth proportional to 1,100.47, 1,518.56 and 628.41 is: 867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.47 : 1,518.56 = 628.41 : x
  2. Step 2: Convert to fraction form
    1,100.47/1,518.56 = 628.41/x
  3. Step 3: Cross multiply
    1,100.47x = 1,518.56 × 628.41
  4. Step 4: Simplify right side
    1,100.47x = 954,275.54
  5. Step 5: Solve for x
    x = 954,275.54/1,100.47
  6. Step 6: Final answer
    x = 867.15

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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.