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Finding the Fourth Proportional to 1,578.97, 2,368.46 and 552.25

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Solution

The fourth proportional to 1,578.97, 2,368.46 and 552.25 is: 828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.97 : 2,368.46 = 552.25 : x
  2. Step 2: Convert to fraction form
    1,578.97/2,368.46 = 552.25/x
  3. Step 3: Cross multiply
    1,578.97x = 2,368.46 × 552.25
  4. Step 4: Simplify right side
    1,578.97x = 1,307,982.04
  5. Step 5: Solve for x
    x = 1,307,982.04/1,578.97
  6. Step 6: Final answer
    x = 828.38

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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.