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Finding the Fourth Proportional to 814, 1,124.16 and 606.64

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Solution

The fourth proportional to 814, 1,124.16 and 606.64 is: 837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    814 : 1,124.16 = 606.64 : x
  2. Step 2: Convert to fraction form
    814/1,124.16 = 606.64/x
  3. Step 3: Cross multiply
    814x = 1,124.16 × 606.64
  4. Step 4: Simplify right side
    814x = 681,960.42
  5. Step 5: Solve for x
    x = 681,960.42/814
  6. Step 6: Final answer
    x = 837.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.