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Finding the Fourth Proportional to 895.40, 1,343.40 and 408.32

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Solution

The fourth proportional to 895.40, 1,343.40 and 408.32 is: 612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.40 : 1,343.40 = 408.32 : x
  2. Step 2: Convert to fraction form
    895.40/1,343.40 = 408.32/x
  3. Step 3: Cross multiply
    895.40x = 1,343.40 × 408.32
  4. Step 4: Simplify right side
    895.40x = 548,537.09
  5. Step 5: Solve for x
    x = 548,537.09/895.40
  6. Step 6: Final answer
    x = 612.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.