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Finding the Fourth Proportional to 813.21, 1,122.26 and 463.83

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Solution

The fourth proportional to 813.21, 1,122.26 and 463.83 is: 640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.21 : 1,122.26 = 463.83 : x
  2. Step 2: Convert to fraction form
    813.21/1,122.26 = 463.83/x
  3. Step 3: Cross multiply
    813.21x = 1,122.26 × 463.83
  4. Step 4: Simplify right side
    813.21x = 520,535.54
  5. Step 5: Solve for x
    x = 520,535.54/813.21
  6. Step 6: Final answer
    x = 640.10

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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.