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Finding the Fourth Proportional to 1,026.26, 1,540.13 and 696.38

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Solution

The fourth proportional to 1,026.26, 1,540.13 and 696.38 is: 1,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.26 : 1,540.13 = 696.38 : x
  2. Step 2: Convert to fraction form
    1,026.26/1,540.13 = 696.38/x
  3. Step 3: Cross multiply
    1,026.26x = 1,540.13 × 696.38
  4. Step 4: Simplify right side
    1,026.26x = 1,072,515.73
  5. Step 5: Solve for x
    x = 1,072,515.73/1,026.26
  6. Step 6: Final answer
    x = 1,045.07

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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.