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Finding the Fourth Proportional to 818.64, 1,226.82 and 676.08

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Solution

The fourth proportional to 818.64, 1,226.82 and 676.08 is: 1,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.64 : 1,226.82 = 676.08 : x
  2. Step 2: Convert to fraction form
    818.64/1,226.82 = 676.08/x
  3. Step 3: Cross multiply
    818.64x = 1,226.82 × 676.08
  4. Step 4: Simplify right side
    818.64x = 829,428.47
  5. Step 5: Solve for x
    x = 829,428.47/818.64
  6. Step 6: Final answer
    x = 1,013.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.