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Finding the Fourth Proportional to 813.82, 1,123.05 and 464.62

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Solution

The fourth proportional to 813.82, 1,123.05 and 464.62 is: 641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.82 : 1,123.05 = 464.62 : x
  2. Step 2: Convert to fraction form
    813.82/1,123.05 = 464.62/x
  3. Step 3: Cross multiply
    813.82x = 1,123.05 × 464.62
  4. Step 4: Simplify right side
    813.82x = 521,791.49
  5. Step 5: Solve for x
    x = 521,791.49/813.82
  6. Step 6: Final answer
    x = 641.16

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1.5x scale

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.