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Finding the Fourth Proportional to 896.33, 1,341.66 and 862.31

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Solution

The fourth proportional to 896.33, 1,341.66 and 862.31 is: 1,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.33 : 1,341.66 = 862.31 : x
  2. Step 2: Convert to fraction form
    896.33/1,341.66 = 862.31/x
  3. Step 3: Cross multiply
    896.33x = 1,341.66 × 862.31
  4. Step 4: Simplify right side
    896.33x = 1,156,926.83
  5. Step 5: Solve for x
    x = 1,156,926.83/896.33
  6. Step 6: Final answer
    x = 1,290.74

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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.