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Finding the Fourth Proportional to 1,217.96, 1,826.76 and 696.26

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Solution

The fourth proportional to 1,217.96, 1,826.76 and 696.26 is: 1,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.96 : 1,826.76 = 696.26 : x
  2. Step 2: Convert to fraction form
    1,217.96/1,826.76 = 696.26/x
  3. Step 3: Cross multiply
    1,217.96x = 1,826.76 × 696.26
  4. Step 4: Simplify right side
    1,217.96x = 1,271,907.10
  5. Step 5: Solve for x
    x = 1,271,907.10/1,217.96
  6. Step 6: Final answer
    x = 1,044.29

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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.