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Finding the Fourth Proportional to 1,583.81, 2,376.15 and 659.80

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Solution

The fourth proportional to 1,583.81, 2,376.15 and 659.80 is: 989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.81 : 2,376.15 = 659.80 : x
  2. Step 2: Convert to fraction form
    1,583.81/2,376.15 = 659.80/x
  3. Step 3: Cross multiply
    1,583.81x = 2,376.15 × 659.80
  4. Step 4: Simplify right side
    1,583.81x = 1,567,783.77
  5. Step 5: Solve for x
    x = 1,567,783.77/1,583.81
  6. Step 6: Final answer
    x = 989.88

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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.