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Finding the Fourth Proportional to 1,450.38, 2,175.84 and 476.55

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Solution

The fourth proportional to 1,450.38, 2,175.84 and 476.55 is: 714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.38 : 2,175.84 = 476.55 : x
  2. Step 2: Convert to fraction form
    1,450.38/2,175.84 = 476.55/x
  3. Step 3: Cross multiply
    1,450.38x = 2,175.84 × 476.55
  4. Step 4: Simplify right side
    1,450.38x = 1,036,896.55
  5. Step 5: Solve for x
    x = 1,036,896.55/1,450.38
  6. Step 6: Final answer
    x = 714.91

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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.