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Finding the Fourth Proportional to 618.78, 930.06 and 538.59

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Solution

The fourth proportional to 618.78, 930.06 and 538.59 is: 809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.78 : 930.06 = 538.59 : x
  2. Step 2: Convert to fraction form
    618.78/930.06 = 538.59/x
  3. Step 3: Cross multiply
    618.78x = 930.06 × 538.59
  4. Step 4: Simplify right side
    618.78x = 500,921.02
  5. Step 5: Solve for x
    x = 500,921.02/618.78
  6. Step 6: Final answer
    x = 809.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.