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Finding the Fourth Proportional to 1,859.21, 2,788.79 and 472.54

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Solution

The fourth proportional to 1,859.21, 2,788.79 and 472.54 is: 708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.21 : 2,788.79 = 472.54 : x
  2. Step 2: Convert to fraction form
    1,859.21/2,788.79 = 472.54/x
  3. Step 3: Cross multiply
    1,859.21x = 2,788.79 × 472.54
  4. Step 4: Simplify right side
    1,859.21x = 1,317,800.88
  5. Step 5: Solve for x
    x = 1,317,800.88/1,859.21
  6. Step 6: Final answer
    x = 708.80

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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.