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Finding the Fourth Proportional to 893.40, 1,232.84 and 598.62

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Solution

The fourth proportional to 893.40, 1,232.84 and 598.62 is: 826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.40 : 1,232.84 = 598.62 : x
  2. Step 2: Convert to fraction form
    893.40/1,232.84 = 598.62/x
  3. Step 3: Cross multiply
    893.40x = 1,232.84 × 598.62
  4. Step 4: Simplify right side
    893.40x = 737,999.69
  5. Step 5: Solve for x
    x = 737,999.69/893.40
  6. Step 6: Final answer
    x = 826.06

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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.