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Finding the Fourth Proportional to 893.87, 1,340.99 and 431.97

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Solution

The fourth proportional to 893.87, 1,340.99 and 431.97 is: 648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.87 : 1,340.99 = 431.97 : x
  2. Step 2: Convert to fraction form
    893.87/1,340.99 = 431.97/x
  3. Step 3: Cross multiply
    893.87x = 1,340.99 × 431.97
  4. Step 4: Simplify right side
    893.87x = 579,267.45
  5. Step 5: Solve for x
    x = 579,267.45/893.87
  6. Step 6: Final answer
    x = 648.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.