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Finding the Fourth Proportional to 814.36, 1,123.26 and 503.32

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Solution

The fourth proportional to 814.36, 1,123.26 and 503.32 is: 694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.36 : 1,123.26 = 503.32 : x
  2. Step 2: Convert to fraction form
    814.36/1,123.26 = 503.32/x
  3. Step 3: Cross multiply
    814.36x = 1,123.26 × 503.32
  4. Step 4: Simplify right side
    814.36x = 565,359.22
  5. Step 5: Solve for x
    x = 565,359.22/814.36
  6. Step 6: Final answer
    x = 694.24

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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.