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Finding the Fourth Proportional to 813.94, 1,123.44 and 464.83

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Solution

The fourth proportional to 813.94, 1,123.44 and 464.83 is: 641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.94 : 1,123.44 = 464.83 : x
  2. Step 2: Convert to fraction form
    813.94/1,123.44 = 464.83/x
  3. Step 3: Cross multiply
    813.94x = 1,123.44 × 464.83
  4. Step 4: Simplify right side
    813.94x = 522,204.06
  5. Step 5: Solve for x
    x = 522,204.06/813.94
  6. Step 6: Final answer
    x = 641.58

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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.