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Finding the Fourth Proportional to 1,147.58, 1,583.04 and 990.86

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Solution

The fourth proportional to 1,147.58, 1,583.04 and 990.86 is: 1,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.58 : 1,583.04 = 990.86 : x
  2. Step 2: Convert to fraction form
    1,147.58/1,583.04 = 990.86/x
  3. Step 3: Cross multiply
    1,147.58x = 1,583.04 × 990.86
  4. Step 4: Simplify right side
    1,147.58x = 1,568,571.01
  5. Step 5: Solve for x
    x = 1,568,571.01/1,147.58
  6. Step 6: Final answer
    x = 1,366.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.