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Finding the Fourth Proportional to 814.26, 1,123.72 and 465.06

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Solution

The fourth proportional to 814.26, 1,123.72 and 465.06 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.26 : 1,123.72 = 465.06 : x
  2. Step 2: Convert to fraction form
    814.26/1,123.72 = 465.06/x
  3. Step 3: Cross multiply
    814.26x = 1,123.72 × 465.06
  4. Step 4: Simplify right side
    814.26x = 522,597.22
  5. Step 5: Solve for x
    x = 522,597.22/814.26
  6. Step 6: Final answer
    x = 641.81

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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.