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Finding the Fourth Proportional to 813.96, 1,123.24 and 464.63

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Solution

The fourth proportional to 813.96, 1,123.24 and 464.63 is: 641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.96 : 1,123.24 = 464.63 : x
  2. Step 2: Convert to fraction form
    813.96/1,123.24 = 464.63/x
  3. Step 3: Cross multiply
    813.96x = 1,123.24 × 464.63
  4. Step 4: Simplify right side
    813.96x = 521,891.00
  5. Step 5: Solve for x
    x = 521,891.00/813.96
  6. Step 6: Final answer
    x = 641.18

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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.