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Finding the Fourth Proportional to 893.50, 1,232.69 and 578.81

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Solution

The fourth proportional to 893.50, 1,232.69 and 578.81 is: 798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.50 : 1,232.69 = 578.81 : x
  2. Step 2: Convert to fraction form
    893.50/1,232.69 = 578.81/x
  3. Step 3: Cross multiply
    893.50x = 1,232.69 × 578.81
  4. Step 4: Simplify right side
    893.50x = 713,493.49
  5. Step 5: Solve for x
    x = 713,493.49/893.50
  6. Step 6: Final answer
    x = 798.54

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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.