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Finding the Fourth Proportional to 813.74, 1,218.80 and 379.58

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Solution

The fourth proportional to 813.74, 1,218.80 and 379.58 is: 568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.74 : 1,218.80 = 379.58 : x
  2. Step 2: Convert to fraction form
    813.74/1,218.80 = 379.58/x
  3. Step 3: Cross multiply
    813.74x = 1,218.80 × 379.58
  4. Step 4: Simplify right side
    813.74x = 462,632.10
  5. Step 5: Solve for x
    x = 462,632.10/813.74
  6. Step 6: Final answer
    x = 568.53

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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.