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Finding the Fourth Proportional to 893.87, 1,233.54 and 500.89

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Solution

The fourth proportional to 893.87, 1,233.54 and 500.89 is: 691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.87 : 1,233.54 = 500.89 : x
  2. Step 2: Convert to fraction form
    893.87/1,233.54 = 500.89/x
  3. Step 3: Cross multiply
    893.87x = 1,233.54 × 500.89
  4. Step 4: Simplify right side
    893.87x = 617,868.29
  5. Step 5: Solve for x
    x = 617,868.29/893.87
  6. Step 6: Final answer
    x = 691.23

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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.