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Finding the Fourth Proportional to 1,632.58, 2,449.28 and 536.95

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Solution

The fourth proportional to 1,632.58, 2,449.28 and 536.95 is: 805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.58 : 2,449.28 = 536.95 : x
  2. Step 2: Convert to fraction form
    1,632.58/2,449.28 = 536.95/x
  3. Step 3: Cross multiply
    1,632.58x = 2,449.28 × 536.95
  4. Step 4: Simplify right side
    1,632.58x = 1,315,140.90
  5. Step 5: Solve for x
    x = 1,315,140.90/1,632.58
  6. Step 6: Final answer
    x = 805.56

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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.