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Finding the Fourth Proportional to 895.06, 1,342.83 and 809.38

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Solution

The fourth proportional to 895.06, 1,342.83 and 809.38 is: 1,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.06 : 1,342.83 = 809.38 : x
  2. Step 2: Convert to fraction form
    895.06/1,342.83 = 809.38/x
  3. Step 3: Cross multiply
    895.06x = 1,342.83 × 809.38
  4. Step 4: Simplify right side
    895.06x = 1,086,859.75
  5. Step 5: Solve for x
    x = 1,086,859.75/895.06
  6. Step 6: Final answer
    x = 1,214.29

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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.