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Finding the Fourth Proportional to 1,578.37, 2,366.40 and 797.98

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Solution

The fourth proportional to 1,578.37, 2,366.40 and 797.98 is: 1,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.37 : 2,366.40 = 797.98 : x
  2. Step 2: Convert to fraction form
    1,578.37/2,366.40 = 797.98/x
  3. Step 3: Cross multiply
    1,578.37x = 2,366.40 × 797.98
  4. Step 4: Simplify right side
    1,578.37x = 1,888,339.87
  5. Step 5: Solve for x
    x = 1,888,339.87/1,578.37
  6. Step 6: Final answer
    x = 1,196.39

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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.