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Finding the Fourth Proportional to 893.57, 1,233.09 and 500.58

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Solution

The fourth proportional to 893.57, 1,233.09 and 500.58 is: 690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.57 : 1,233.09 = 500.58 : x
  2. Step 2: Convert to fraction form
    893.57/1,233.09 = 500.58/x
  3. Step 3: Cross multiply
    893.57x = 1,233.09 × 500.58
  4. Step 4: Simplify right side
    893.57x = 617,260.19
  5. Step 5: Solve for x
    x = 617,260.19/893.57
  6. Step 6: Final answer
    x = 690.78

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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.