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Finding the Fourth Proportional to 851.46, 1,268.54 and 814.20

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Solution

The fourth proportional to 851.46, 1,268.54 and 814.20 is: 1,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.46 : 1,268.54 = 814.20 : x
  2. Step 2: Convert to fraction form
    851.46/1,268.54 = 814.20/x
  3. Step 3: Cross multiply
    851.46x = 1,268.54 × 814.20
  4. Step 4: Simplify right side
    851.46x = 1,032,841.20
  5. Step 5: Solve for x
    x = 1,032,841.20/851.46
  6. Step 6: Final answer
    x = 1,213.02

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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.