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Finding the Fourth Proportional to 905.38, 1,358.79 and 842.02

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Solution

The fourth proportional to 905.38, 1,358.79 and 842.02 is: 1,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.38 : 1,358.79 = 842.02 : x
  2. Step 2: Convert to fraction form
    905.38/1,358.79 = 842.02/x
  3. Step 3: Cross multiply
    905.38x = 1,358.79 × 842.02
  4. Step 4: Simplify right side
    905.38x = 1,144,128.36
  5. Step 5: Solve for x
    x = 1,144,128.36/905.38
  6. Step 6: Final answer
    x = 1,263.70

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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.