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Finding the Fourth Proportional to 1,578.10, 2,366.07 and 711.94

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Solution

The fourth proportional to 1,578.10, 2,366.07 and 711.94 is: 1,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.10 : 2,366.07 = 711.94 : x
  2. Step 2: Convert to fraction form
    1,578.10/2,366.07 = 711.94/x
  3. Step 3: Cross multiply
    1,578.10x = 2,366.07 × 711.94
  4. Step 4: Simplify right side
    1,578.10x = 1,684,499.88
  5. Step 5: Solve for x
    x = 1,684,499.88/1,578.10
  6. Step 6: Final answer
    x = 1,067.42

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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.