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Finding the Fourth Proportional to 893.41, 1,232.85 and 500.41

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Solution

The fourth proportional to 893.41, 1,232.85 and 500.41 is: 690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.41 : 1,232.85 = 500.41 : x
  2. Step 2: Convert to fraction form
    893.41/1,232.85 = 500.41/x
  3. Step 3: Cross multiply
    893.41x = 1,232.85 × 500.41
  4. Step 4: Simplify right side
    893.41x = 616,930.47
  5. Step 5: Solve for x
    x = 616,930.47/893.41
  6. Step 6: Final answer
    x = 690.53

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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.