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Finding the Fourth Proportional to 1,450.37, 2,175.67 and 476.57

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Solution

The fourth proportional to 1,450.37, 2,175.67 and 476.57 is: 714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.37 : 2,175.67 = 476.57 : x
  2. Step 2: Convert to fraction form
    1,450.37/2,175.67 = 476.57/x
  3. Step 3: Cross multiply
    1,450.37x = 2,175.67 × 476.57
  4. Step 4: Simplify right side
    1,450.37x = 1,036,859.05
  5. Step 5: Solve for x
    x = 1,036,859.05/1,450.37
  6. Step 6: Final answer
    x = 714.89

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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.