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Finding the Fourth Proportional to 813.26, 1,218.47 and 677.18

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Solution

The fourth proportional to 813.26, 1,218.47 and 677.18 is: 1,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.26 : 1,218.47 = 677.18 : x
  2. Step 2: Convert to fraction form
    813.26/1,218.47 = 677.18/x
  3. Step 3: Cross multiply
    813.26x = 1,218.47 × 677.18
  4. Step 4: Simplify right side
    813.26x = 825,114.04
  5. Step 5: Solve for x
    x = 825,114.04/813.26
  6. Step 6: Final answer
    x = 1,014.58

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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.