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Finding the Fourth Proportional to 1,672.26, 2,508.64 and 698.14

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Solution

The fourth proportional to 1,672.26, 2,508.64 and 698.14 is: 1,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.26 : 2,508.64 = 698.14 : x
  2. Step 2: Convert to fraction form
    1,672.26/2,508.64 = 698.14/x
  3. Step 3: Cross multiply
    1,672.26x = 2,508.64 × 698.14
  4. Step 4: Simplify right side
    1,672.26x = 1,751,381.93
  5. Step 5: Solve for x
    x = 1,751,381.93/1,672.26
  6. Step 6: Final answer
    x = 1,047.31

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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.