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Finding the Fourth Proportional to 1,439.36, 2,159.40 and 659.54

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Solution

The fourth proportional to 1,439.36, 2,159.40 and 659.54 is: 989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.36 : 2,159.40 = 659.54 : x
  2. Step 2: Convert to fraction form
    1,439.36/2,159.40 = 659.54/x
  3. Step 3: Cross multiply
    1,439.36x = 2,159.40 × 659.54
  4. Step 4: Simplify right side
    1,439.36x = 1,424,210.68
  5. Step 5: Solve for x
    x = 1,424,210.68/1,439.36
  6. Step 6: Final answer
    x = 989.47

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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.