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Finding the Fourth Proportional to 1,245.82, 1,867.52 and 758

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Solution

The fourth proportional to 1,245.82, 1,867.52 and 758 is: 1,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.82 : 1,867.52 = 758 : x
  2. Step 2: Convert to fraction form
    1,245.82/1,867.52 = 758/x
  3. Step 3: Cross multiply
    1,245.82x = 1,867.52 × 758
  4. Step 4: Simplify right side
    1,245.82x = 1,415,580.16
  5. Step 5: Solve for x
    x = 1,415,580.16/1,245.82
  6. Step 6: Final answer
    x = 1,136.26

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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.