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Finding the Fourth Proportional to 814.69, 1,220.40 and 525.25

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Solution

The fourth proportional to 814.69, 1,220.40 and 525.25 is: 786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.69 : 1,220.40 = 525.25 : x
  2. Step 2: Convert to fraction form
    814.69/1,220.40 = 525.25/x
  3. Step 3: Cross multiply
    814.69x = 1,220.40 × 525.25
  4. Step 4: Simplify right side
    814.69x = 641,015.10
  5. Step 5: Solve for x
    x = 641,015.10/814.69
  6. Step 6: Final answer
    x = 786.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.