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Finding the Fourth Proportional to 895.92, 1,343.80 and 409.29

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Solution

The fourth proportional to 895.92, 1,343.80 and 409.29 is: 613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.92 : 1,343.80 = 409.29 : x
  2. Step 2: Convert to fraction form
    895.92/1,343.80 = 409.29/x
  3. Step 3: Cross multiply
    895.92x = 1,343.80 × 409.29
  4. Step 4: Simplify right side
    895.92x = 550,003.90
  5. Step 5: Solve for x
    x = 550,003.90/895.92
  6. Step 6: Final answer
    x = 613.90

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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.