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Finding the Fourth Proportional to 1,645.26, 2,465.82 and 720.24

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Solution

The fourth proportional to 1,645.26, 2,465.82 and 720.24 is: 1,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.26 : 2,465.82 = 720.24 : x
  2. Step 2: Convert to fraction form
    1,645.26/2,465.82 = 720.24/x
  3. Step 3: Cross multiply
    1,645.26x = 2,465.82 × 720.24
  4. Step 4: Simplify right side
    1,645.26x = 1,775,982.20
  5. Step 5: Solve for x
    x = 1,775,982.20/1,645.26
  6. Step 6: Final answer
    x = 1,079.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.