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Finding the Fourth Proportional to 902.94, 1,353.37 and 492.27

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Solution

The fourth proportional to 902.94, 1,353.37 and 492.27 is: 737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.94 : 1,353.37 = 492.27 : x
  2. Step 2: Convert to fraction form
    902.94/1,353.37 = 492.27/x
  3. Step 3: Cross multiply
    902.94x = 1,353.37 × 492.27
  4. Step 4: Simplify right side
    902.94x = 666,223.45
  5. Step 5: Solve for x
    x = 666,223.45/902.94
  6. Step 6: Final answer
    x = 737.84

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Why These Related Problems?

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