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Finding the Fourth Proportional to 1,632.56, 2,448.97 and 536.66

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Solution

The fourth proportional to 1,632.56, 2,448.97 and 536.66 is: 805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.56 : 2,448.97 = 536.66 : x
  2. Step 2: Convert to fraction form
    1,632.56/2,448.97 = 536.66/x
  3. Step 3: Cross multiply
    1,632.56x = 2,448.97 × 536.66
  4. Step 4: Simplify right side
    1,632.56x = 1,314,259.84
  5. Step 5: Solve for x
    x = 1,314,259.84/1,632.56
  6. Step 6: Final answer
    x = 805.03

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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.