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Finding the Fourth Proportional to 813.38, 1,218.62 and 704.66

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Solution

The fourth proportional to 813.38, 1,218.62 and 704.66 is: 1,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.38 : 1,218.62 = 704.66 : x
  2. Step 2: Convert to fraction form
    813.38/1,218.62 = 704.66/x
  3. Step 3: Cross multiply
    813.38x = 1,218.62 × 704.66
  4. Step 4: Simplify right side
    813.38x = 858,712.77
  5. Step 5: Solve for x
    x = 858,712.77/813.38
  6. Step 6: Final answer
    x = 1,055.73

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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.