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Finding the Fourth Proportional to 893.36, 1,232.86 and 495.04

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Solution

The fourth proportional to 893.36, 1,232.86 and 495.04 is: 683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.36 : 1,232.86 = 495.04 : x
  2. Step 2: Convert to fraction form
    893.36/1,232.86 = 495.04/x
  3. Step 3: Cross multiply
    893.36x = 1,232.86 × 495.04
  4. Step 4: Simplify right side
    893.36x = 610,315.01
  5. Step 5: Solve for x
    x = 610,315.01/893.36
  6. Step 6: Final answer
    x = 683.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.