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Finding the Fourth Proportional to 1,632.67, 2,448.87 and 462.63

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Solution

The fourth proportional to 1,632.67, 2,448.87 and 462.63 is: 693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.67 : 2,448.87 = 462.63 : x
  2. Step 2: Convert to fraction form
    1,632.67/2,448.87 = 462.63/x
  3. Step 3: Cross multiply
    1,632.67x = 2,448.87 × 462.63
  4. Step 4: Simplify right side
    1,632.67x = 1,132,911.54
  5. Step 5: Solve for x
    x = 1,132,911.54/1,632.67
  6. Step 6: Final answer
    x = 693.90

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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.