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Finding the Fourth Proportional to 893.38, 1,340.64 and 482.80

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Solution

The fourth proportional to 893.38, 1,340.64 and 482.80 is: 724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.38 : 1,340.64 = 482.80 : x
  2. Step 2: Convert to fraction form
    893.38/1,340.64 = 482.80/x
  3. Step 3: Cross multiply
    893.38x = 1,340.64 × 482.80
  4. Step 4: Simplify right side
    893.38x = 647,260.99
  5. Step 5: Solve for x
    x = 647,260.99/893.38
  6. Step 6: Final answer
    x = 724.51

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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.