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Finding the Fourth Proportional to 1,632.48, 2,449.09 and 536.86

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Solution

The fourth proportional to 1,632.48, 2,449.09 and 536.86 is: 805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.48 : 2,449.09 = 536.86 : x
  2. Step 2: Convert to fraction form
    1,632.48/2,449.09 = 536.86/x
  3. Step 3: Cross multiply
    1,632.48x = 2,449.09 × 536.86
  4. Step 4: Simplify right side
    1,632.48x = 1,314,806.88
  5. Step 5: Solve for x
    x = 1,314,806.88/1,632.48
  6. Step 6: Final answer
    x = 805.40

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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.