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Finding the Fourth Proportional to 1,632.13, 2,448.28 and 536.47

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Solution

The fourth proportional to 1,632.13, 2,448.28 and 536.47 is: 804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.13 : 2,448.28 = 536.47 : x
  2. Step 2: Convert to fraction form
    1,632.13/2,448.28 = 536.47/x
  3. Step 3: Cross multiply
    1,632.13x = 2,448.28 × 536.47
  4. Step 4: Simplify right side
    1,632.13x = 1,313,433.55
  5. Step 5: Solve for x
    x = 1,313,433.55/1,632.13
  6. Step 6: Final answer
    x = 804.73

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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.