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Finding the Fourth Proportional to 813.98, 1,123.80 and 627.11

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Solution

The fourth proportional to 813.98, 1,123.80 and 627.11 is: 865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.98 : 1,123.80 = 627.11 : x
  2. Step 2: Convert to fraction form
    813.98/1,123.80 = 627.11/x
  3. Step 3: Cross multiply
    813.98x = 1,123.80 × 627.11
  4. Step 4: Simplify right side
    813.98x = 704,743.08
  5. Step 5: Solve for x
    x = 704,743.08/813.98
  6. Step 6: Final answer
    x = 865.80

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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.