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Finding the Fourth Proportional to 1,578.94, 2,369.49 and 552.94

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Solution

The fourth proportional to 1,578.94, 2,369.49 and 552.94 is: 829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.94 : 2,369.49 = 552.94 : x
  2. Step 2: Convert to fraction form
    1,578.94/2,369.49 = 552.94/x
  3. Step 3: Cross multiply
    1,578.94x = 2,369.49 × 552.94
  4. Step 4: Simplify right side
    1,578.94x = 1,310,177.80
  5. Step 5: Solve for x
    x = 1,310,177.80/1,578.94
  6. Step 6: Final answer
    x = 829.78

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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.