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Finding the Fourth Proportional to 895.73, 1,343.31 and 837.43

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Solution

The fourth proportional to 895.73, 1,343.31 and 837.43 is: 1,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.73 : 1,343.31 = 837.43 : x
  2. Step 2: Convert to fraction form
    895.73/1,343.31 = 837.43/x
  3. Step 3: Cross multiply
    895.73x = 1,343.31 × 837.43
  4. Step 4: Simplify right side
    895.73x = 1,124,924.74
  5. Step 5: Solve for x
    x = 1,124,924.74/895.73
  6. Step 6: Final answer
    x = 1,255.87

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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.