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Finding the Fourth Proportional to 902.29, 1,346.90 and 792.94

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Solution

The fourth proportional to 902.29, 1,346.90 and 792.94 is: 1,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.29 : 1,346.90 = 792.94 : x
  2. Step 2: Convert to fraction form
    902.29/1,346.90 = 792.94/x
  3. Step 3: Cross multiply
    902.29x = 1,346.90 × 792.94
  4. Step 4: Simplify right side
    902.29x = 1,068,009.50
  5. Step 5: Solve for x
    x = 1,068,009.50/902.29
  6. Step 6: Final answer
    x = 1,183.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.