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Finding the Fourth Proportional to 902.08, 1,353.57 and 537.58

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Solution

The fourth proportional to 902.08, 1,353.57 and 537.58 is: 806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.08 : 1,353.57 = 537.58 : x
  2. Step 2: Convert to fraction form
    902.08/1,353.57 = 537.58/x
  3. Step 3: Cross multiply
    902.08x = 1,353.57 × 537.58
  4. Step 4: Simplify right side
    902.08x = 727,652.16
  5. Step 5: Solve for x
    x = 727,652.16/902.08
  6. Step 6: Final answer
    x = 806.64

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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.