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Finding the Fourth Proportional to 1,632.44, 2,447.03 and 657.81

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Solution

The fourth proportional to 1,632.44, 2,447.03 and 657.81 is: 986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.44 : 2,447.03 = 657.81 : x
  2. Step 2: Convert to fraction form
    1,632.44/2,447.03 = 657.81/x
  3. Step 3: Cross multiply
    1,632.44x = 2,447.03 × 657.81
  4. Step 4: Simplify right side
    1,632.44x = 1,609,677.52
  5. Step 5: Solve for x
    x = 1,609,677.52/1,632.44
  6. Step 6: Final answer
    x = 986.06

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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.