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Finding the Fourth Proportional to 1,863.11, 2,794.66 and 476.44

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Solution

The fourth proportional to 1,863.11, 2,794.66 and 476.44 is: 714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.11 : 2,794.66 = 476.44 : x
  2. Step 2: Convert to fraction form
    1,863.11/2,794.66 = 476.44/x
  3. Step 3: Cross multiply
    1,863.11x = 2,794.66 × 476.44
  4. Step 4: Simplify right side
    1,863.11x = 1,331,498.11
  5. Step 5: Solve for x
    x = 1,331,498.11/1,863.11
  6. Step 6: Final answer
    x = 714.66

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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.