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Finding the Fourth Proportional to 814.78, 1,125.33 and 552.34

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Solution

The fourth proportional to 814.78, 1,125.33 and 552.34 is: 762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.78 : 1,125.33 = 552.34 : x
  2. Step 2: Convert to fraction form
    814.78/1,125.33 = 552.34/x
  3. Step 3: Cross multiply
    814.78x = 1,125.33 × 552.34
  4. Step 4: Simplify right side
    814.78x = 621,564.11
  5. Step 5: Solve for x
    x = 621,564.11/814.78
  6. Step 6: Final answer
    x = 762.86

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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.