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Finding the Fourth Proportional to 813.80, 1,123.02 and 459.74

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Solution

The fourth proportional to 813.80, 1,123.02 and 459.74 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.80 : 1,123.02 = 459.74 : x
  2. Step 2: Convert to fraction form
    813.80/1,123.02 = 459.74/x
  3. Step 3: Cross multiply
    813.80x = 1,123.02 × 459.74
  4. Step 4: Simplify right side
    813.80x = 516,294.41
  5. Step 5: Solve for x
    x = 516,294.41/813.80
  6. Step 6: Final answer
    x = 634.42

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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.