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Finding the Fourth Proportional to 1,450.23, 2,175.68 and 476.31

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Solution

The fourth proportional to 1,450.23, 2,175.68 and 476.31 is: 714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.23 : 2,175.68 = 476.31 : x
  2. Step 2: Convert to fraction form
    1,450.23/2,175.68 = 476.31/x
  3. Step 3: Cross multiply
    1,450.23x = 2,175.68 × 476.31
  4. Step 4: Simplify right side
    1,450.23x = 1,036,295.76
  5. Step 5: Solve for x
    x = 1,036,295.76/1,450.23
  6. Step 6: Final answer
    x = 714.57

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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.