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Finding the Fourth Proportional to 813.74, 1,219.77 and 447.75

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Solution

The fourth proportional to 813.74, 1,219.77 and 447.75 is: 671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.74 : 1,219.77 = 447.75 : x
  2. Step 2: Convert to fraction form
    813.74/1,219.77 = 447.75/x
  3. Step 3: Cross multiply
    813.74x = 1,219.77 × 447.75
  4. Step 4: Simplify right side
    813.74x = 546,152.02
  5. Step 5: Solve for x
    x = 546,152.02/813.74
  6. Step 6: Final answer
    x = 671.17

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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.