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Finding the Fourth Proportional to 1,632.81, 2,449.64 and 478.56

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Solution

The fourth proportional to 1,632.81, 2,449.64 and 478.56 is: 717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.81 : 2,449.64 = 478.56 : x
  2. Step 2: Convert to fraction form
    1,632.81/2,449.64 = 478.56/x
  3. Step 3: Cross multiply
    1,632.81x = 2,449.64 × 478.56
  4. Step 4: Simplify right side
    1,632.81x = 1,172,299.72
  5. Step 5: Solve for x
    x = 1,172,299.72/1,632.81
  6. Step 6: Final answer
    x = 717.96

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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.