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Finding the Fourth Proportional to 1,450.01, 2,175.62 and 801.20

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Solution

The fourth proportional to 1,450.01, 2,175.62 and 801.20 is: 1,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.01 : 2,175.62 = 801.20 : x
  2. Step 2: Convert to fraction form
    1,450.01/2,175.62 = 801.20/x
  3. Step 3: Cross multiply
    1,450.01x = 2,175.62 × 801.20
  4. Step 4: Simplify right side
    1,450.01x = 1,743,106.74
  5. Step 5: Solve for x
    x = 1,743,106.74/1,450.01
  6. Step 6: Final answer
    x = 1,202.13

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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.