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Finding the Fourth Proportional to 1,159.87, 1,738.23 and 639.09

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Solution

The fourth proportional to 1,159.87, 1,738.23 and 639.09 is: 957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.87 : 1,738.23 = 639.09 : x
  2. Step 2: Convert to fraction form
    1,159.87/1,738.23 = 639.09/x
  3. Step 3: Cross multiply
    1,159.87x = 1,738.23 × 639.09
  4. Step 4: Simplify right side
    1,159.87x = 1,110,882.22
  5. Step 5: Solve for x
    x = 1,110,882.22/1,159.87
  6. Step 6: Final answer
    x = 957.77

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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.