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Finding the Fourth Proportional to 895.45, 1,343.76 and 408.46

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Solution

The fourth proportional to 895.45, 1,343.76 and 408.46 is: 612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.45 : 1,343.76 = 408.46 : x
  2. Step 2: Convert to fraction form
    895.45/1,343.76 = 408.46/x
  3. Step 3: Cross multiply
    895.45x = 1,343.76 × 408.46
  4. Step 4: Simplify right side
    895.45x = 548,872.21
  5. Step 5: Solve for x
    x = 548,872.21/895.45
  6. Step 6: Final answer
    x = 612.96

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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.