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Finding the Fourth Proportional to 813.78, 1,123.04 and 464.48

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Solution

The fourth proportional to 813.78, 1,123.04 and 464.48 is: 641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.78 : 1,123.04 = 464.48 : x
  2. Step 2: Convert to fraction form
    813.78/1,123.04 = 464.48/x
  3. Step 3: Cross multiply
    813.78x = 1,123.04 × 464.48
  4. Step 4: Simplify right side
    813.78x = 521,629.62
  5. Step 5: Solve for x
    x = 521,629.62/813.78
  6. Step 6: Final answer
    x = 641.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.