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Finding the Fourth Proportional to 1,578.42, 2,367.90 and 482.54

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Solution

The fourth proportional to 1,578.42, 2,367.90 and 482.54 is: 723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.42 : 2,367.90 = 482.54 : x
  2. Step 2: Convert to fraction form
    1,578.42/2,367.90 = 482.54/x
  3. Step 3: Cross multiply
    1,578.42x = 2,367.90 × 482.54
  4. Step 4: Simplify right side
    1,578.42x = 1,142,606.47
  5. Step 5: Solve for x
    x = 1,142,606.47/1,578.42
  6. Step 6: Final answer
    x = 723.89

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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.