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Finding the Fourth Proportional to 902.46, 1,355.19 and 683.10

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Solution

The fourth proportional to 902.46, 1,355.19 and 683.10 is: 1,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.46 : 1,355.19 = 683.10 : x
  2. Step 2: Convert to fraction form
    902.46/1,355.19 = 683.10/x
  3. Step 3: Cross multiply
    902.46x = 1,355.19 × 683.10
  4. Step 4: Simplify right side
    902.46x = 925,730.29
  5. Step 5: Solve for x
    x = 925,730.29/902.46
  6. Step 6: Final answer
    x = 1,025.79

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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.