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Finding the Fourth Proportional to 1,087.68, 1,631.53 and 764.49

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Solution

The fourth proportional to 1,087.68, 1,631.53 and 764.49 is: 1,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.68 : 1,631.53 = 764.49 : x
  2. Step 2: Convert to fraction form
    1,087.68/1,631.53 = 764.49/x
  3. Step 3: Cross multiply
    1,087.68x = 1,631.53 × 764.49
  4. Step 4: Simplify right side
    1,087.68x = 1,247,295.44
  5. Step 5: Solve for x
    x = 1,247,295.44/1,087.68
  6. Step 6: Final answer
    x = 1,146.74

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Why These Related Problems?

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