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Finding the Fourth Proportional to 814.09, 1,123.62 and 578.08

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Solution

The fourth proportional to 814.09, 1,123.62 and 578.08 is: 797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.09 : 1,123.62 = 578.08 : x
  2. Step 2: Convert to fraction form
    814.09/1,123.62 = 578.08/x
  3. Step 3: Cross multiply
    814.09x = 1,123.62 × 578.08
  4. Step 4: Simplify right side
    814.09x = 649,542.25
  5. Step 5: Solve for x
    x = 649,542.25/814.09
  6. Step 6: Final answer
    x = 797.88

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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.