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Finding the Fourth Proportional to 1,450.46, 2,176.02 and 476.57

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Solution

The fourth proportional to 1,450.46, 2,176.02 and 476.57 is: 714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.46 : 2,176.02 = 476.57 : x
  2. Step 2: Convert to fraction form
    1,450.46/2,176.02 = 476.57/x
  3. Step 3: Cross multiply
    1,450.46x = 2,176.02 × 476.57
  4. Step 4: Simplify right side
    1,450.46x = 1,037,014.97
  5. Step 5: Solve for x
    x = 1,037,014.97/1,450.46
  6. Step 6: Final answer
    x = 714.96

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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.