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Finding the Fourth Proportional to 1,578.44, 2,366.76 and 482.48

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Solution

The fourth proportional to 1,578.44, 2,366.76 and 482.48 is: 723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.44 : 2,366.76 = 482.48 : x
  2. Step 2: Convert to fraction form
    1,578.44/2,366.76 = 482.48/x
  3. Step 3: Cross multiply
    1,578.44x = 2,366.76 × 482.48
  4. Step 4: Simplify right side
    1,578.44x = 1,141,914.36
  5. Step 5: Solve for x
    x = 1,141,914.36/1,578.44
  6. Step 6: Final answer
    x = 723.44

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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.