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Finding the Fourth Proportional to 814.37, 1,220.74 and 467.29

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Solution

The fourth proportional to 814.37, 1,220.74 and 467.29 is: 700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.37 : 1,220.74 = 467.29 : x
  2. Step 2: Convert to fraction form
    814.37/1,220.74 = 467.29/x
  3. Step 3: Cross multiply
    814.37x = 1,220.74 × 467.29
  4. Step 4: Simplify right side
    814.37x = 570,434.66
  5. Step 5: Solve for x
    x = 570,434.66/814.37
  6. Step 6: Final answer
    x = 700.46

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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.