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Finding the Fourth Proportional to 905.66, 1,358.39 and 615.03

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Solution

The fourth proportional to 905.66, 1,358.39 and 615.03 is: 922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.66 : 1,358.39 = 615.03 : x
  2. Step 2: Convert to fraction form
    905.66/1,358.39 = 615.03/x
  3. Step 3: Cross multiply
    905.66x = 1,358.39 × 615.03
  4. Step 4: Simplify right side
    905.66x = 835,443.59
  5. Step 5: Solve for x
    x = 835,443.59/905.66
  6. Step 6: Final answer
    x = 922.47

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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.