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Finding the Fourth Proportional to 893.82, 1,233.42 and 562.14

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Solution

The fourth proportional to 893.82, 1,233.42 and 562.14 is: 775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.82 : 1,233.42 = 562.14 : x
  2. Step 2: Convert to fraction form
    893.82/1,233.42 = 562.14/x
  3. Step 3: Cross multiply
    893.82x = 1,233.42 × 562.14
  4. Step 4: Simplify right side
    893.82x = 693,354.72
  5. Step 5: Solve for x
    x = 693,354.72/893.82
  6. Step 6: Final answer
    x = 775.72

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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.