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Finding the Fourth Proportional to 1,631.52, 2,447.51 and 536.00

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Solution

The fourth proportional to 1,631.52, 2,447.51 and 536.00 is: 804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.52 : 2,447.51 = 536.00 : x
  2. Step 2: Convert to fraction form
    1,631.52/2,447.51 = 536.00/x
  3. Step 3: Cross multiply
    1,631.52x = 2,447.51 × 536.00
  4. Step 4: Simplify right side
    1,631.52x = 1,311,850.44
  5. Step 5: Solve for x
    x = 1,311,850.44/1,631.52
  6. Step 6: Final answer
    x = 804.07

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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.