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Finding the Fourth Proportional to 1,578.18, 2,367 and 482.28

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Solution

The fourth proportional to 1,578.18, 2,367 and 482.28 is: 723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.18 : 2,367 = 482.28 : x
  2. Step 2: Convert to fraction form
    1,578.18/2,367 = 482.28/x
  3. Step 3: Cross multiply
    1,578.18x = 2,367 × 482.28
  4. Step 4: Simplify right side
    1,578.18x = 1,141,556.76
  5. Step 5: Solve for x
    x = 1,141,556.76/1,578.18
  6. Step 6: Final answer
    x = 723.34

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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.