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Finding the Fourth Proportional to 1,645.05, 2,466.99 and 720.35

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Solution

The fourth proportional to 1,645.05, 2,466.99 and 720.35 is: 1,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.05 : 2,466.99 = 720.35 : x
  2. Step 2: Convert to fraction form
    1,645.05/2,466.99 = 720.35/x
  3. Step 3: Cross multiply
    1,645.05x = 2,466.99 × 720.35
  4. Step 4: Simplify right side
    1,645.05x = 1,777,083.91
  5. Step 5: Solve for x
    x = 1,777,083.91/1,645.05
  6. Step 6: Final answer
    x = 1,080.26

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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.