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Finding the Fourth Proportional to 1,150.29, 1,724.36 and 636.21

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Solution

The fourth proportional to 1,150.29, 1,724.36 and 636.21 is: 953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.29 : 1,724.36 = 636.21 : x
  2. Step 2: Convert to fraction form
    1,150.29/1,724.36 = 636.21/x
  3. Step 3: Cross multiply
    1,150.29x = 1,724.36 × 636.21
  4. Step 4: Simplify right side
    1,150.29x = 1,097,051.89
  5. Step 5: Solve for x
    x = 1,097,051.89/1,150.29
  6. Step 6: Final answer
    x = 953.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.