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Finding the Fourth Proportional to 813.50, 1,122.64 and 445.50

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Solution

The fourth proportional to 813.50, 1,122.64 and 445.50 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.50 : 1,122.64 = 445.50 : x
  2. Step 2: Convert to fraction form
    813.50/1,122.64 = 445.50/x
  3. Step 3: Cross multiply
    813.50x = 1,122.64 × 445.50
  4. Step 4: Simplify right side
    813.50x = 500,136.12
  5. Step 5: Solve for x
    x = 500,136.12/813.50
  6. Step 6: Final answer
    x = 614.80

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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.