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Finding the Fourth Proportional to 1,084.10, 1,626.16 and 824.64

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Solution

The fourth proportional to 1,084.10, 1,626.16 and 824.64 is: 1,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.10 : 1,626.16 = 824.64 : x
  2. Step 2: Convert to fraction form
    1,084.10/1,626.16 = 824.64/x
  3. Step 3: Cross multiply
    1,084.10x = 1,626.16 × 824.64
  4. Step 4: Simplify right side
    1,084.10x = 1,340,996.58
  5. Step 5: Solve for x
    x = 1,340,996.58/1,084.10
  6. Step 6: Final answer
    x = 1,236.97

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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.