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Finding the Fourth Proportional to 679.26, 1,017.07 and 435.05

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Solution

The fourth proportional to 679.26, 1,017.07 and 435.05 is: 651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.26 : 1,017.07 = 435.05 : x
  2. Step 2: Convert to fraction form
    679.26/1,017.07 = 435.05/x
  3. Step 3: Cross multiply
    679.26x = 1,017.07 × 435.05
  4. Step 4: Simplify right side
    679.26x = 442,476.30
  5. Step 5: Solve for x
    x = 442,476.30/679.26
  6. Step 6: Final answer
    x = 651.41

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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.