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Finding the Fourth Proportional to 893.12, 1,232.42 and 500.12

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Solution

The fourth proportional to 893.12, 1,232.42 and 500.12 is: 690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.12 : 1,232.42 = 500.12 : x
  2. Step 2: Convert to fraction form
    893.12/1,232.42 = 500.12/x
  3. Step 3: Cross multiply
    893.12x = 1,232.42 × 500.12
  4. Step 4: Simplify right side
    893.12x = 616,357.89
  5. Step 5: Solve for x
    x = 616,357.89/893.12
  6. Step 6: Final answer
    x = 690.12

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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.