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Finding the Fourth Proportional to 893.92, 1,233.68 and 501

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Solution

The fourth proportional to 893.92, 1,233.68 and 501 is: 691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.92 : 1,233.68 = 501 : x
  2. Step 2: Convert to fraction form
    893.92/1,233.68 = 501/x
  3. Step 3: Cross multiply
    893.92x = 1,233.68 × 501
  4. Step 4: Simplify right side
    893.92x = 618,073.68
  5. Step 5: Solve for x
    x = 618,073.68/893.92
  6. Step 6: Final answer
    x = 691.42

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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.