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Finding the Fourth Proportional to 896.95, 1,340.32 and 673.12

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Solution

The fourth proportional to 896.95, 1,340.32 and 673.12 is: 1,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.95 : 1,340.32 = 673.12 : x
  2. Step 2: Convert to fraction form
    896.95/1,340.32 = 673.12/x
  3. Step 3: Cross multiply
    896.95x = 1,340.32 × 673.12
  4. Step 4: Simplify right side
    896.95x = 902,196.20
  5. Step 5: Solve for x
    x = 902,196.20/896.95
  6. Step 6: Final answer
    x = 1,005.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.