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Finding the Fourth Proportional to 818.64, 1,218.36 and 816.24

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Solution

The fourth proportional to 818.64, 1,218.36 and 816.24 is: 1,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.64 : 1,218.36 = 816.24 : x
  2. Step 2: Convert to fraction form
    818.64/1,218.36 = 816.24/x
  3. Step 3: Cross multiply
    818.64x = 1,218.36 × 816.24
  4. Step 4: Simplify right side
    818.64x = 994,474.17
  5. Step 5: Solve for x
    x = 994,474.17/818.64
  6. Step 6: Final answer
    x = 1,214.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.