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Finding the Fourth Proportional to 813.71, 1,122.89 and 459.65

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Solution

The fourth proportional to 813.71, 1,122.89 and 459.65 is: 634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.71 : 1,122.89 = 459.65 : x
  2. Step 2: Convert to fraction form
    813.71/1,122.89 = 459.65/x
  3. Step 3: Cross multiply
    813.71x = 1,122.89 × 459.65
  4. Step 4: Simplify right side
    813.71x = 516,136.90
  5. Step 5: Solve for x
    x = 516,136.90/813.71
  6. Step 6: Final answer
    x = 634.30

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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.