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Finding the Fourth Proportional to 813.64, 1,122.84 and 459.64

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Solution

The fourth proportional to 813.64, 1,122.84 and 459.64 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.64 : 1,122.84 = 459.64 : x
  2. Step 2: Convert to fraction form
    813.64/1,122.84 = 459.64/x
  3. Step 3: Cross multiply
    813.64x = 1,122.84 × 459.64
  4. Step 4: Simplify right side
    813.64x = 516,102.18
  5. Step 5: Solve for x
    x = 516,102.18/813.64
  6. Step 6: Final answer
    x = 634.31

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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.