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Finding the Fourth Proportional to 813.57, 1,122.57 and 459.50

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Solution

The fourth proportional to 813.57, 1,122.57 and 459.50 is: 634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.57 : 1,122.57 = 459.50 : x
  2. Step 2: Convert to fraction form
    813.57/1,122.57 = 459.50/x
  3. Step 3: Cross multiply
    813.57x = 1,122.57 × 459.50
  4. Step 4: Simplify right side
    813.57x = 515,815.30
  5. Step 5: Solve for x
    x = 515,815.30/813.57
  6. Step 6: Final answer
    x = 634.01

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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.