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Finding the Fourth Proportional to 1,632.57, 2,449.21 and 536.88

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Solution

The fourth proportional to 1,632.57, 2,449.21 and 536.88 is: 805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.57 : 2,449.21 = 536.88 : x
  2. Step 2: Convert to fraction form
    1,632.57/2,449.21 = 536.88/x
  3. Step 3: Cross multiply
    1,632.57x = 2,449.21 × 536.88
  4. Step 4: Simplify right side
    1,632.57x = 1,314,931.86
  5. Step 5: Solve for x
    x = 1,314,931.86/1,632.57
  6. Step 6: Final answer
    x = 805.44

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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.