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Finding the Fourth Proportional to 893.12, 1,232.46 and 500.27

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Solution

The fourth proportional to 893.12, 1,232.46 and 500.27 is: 690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.12 : 1,232.46 = 500.27 : x
  2. Step 2: Convert to fraction form
    893.12/1,232.46 = 500.27/x
  3. Step 3: Cross multiply
    893.12x = 1,232.46 × 500.27
  4. Step 4: Simplify right side
    893.12x = 616,556.60
  5. Step 5: Solve for x
    x = 616,556.60/893.12
  6. Step 6: Final answer
    x = 690.34

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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.