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Finding the Fourth Proportional to 1,243.64, 1,866.24 and 756.95

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Solution

The fourth proportional to 1,243.64, 1,866.24 and 756.95 is: 1,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.64 : 1,866.24 = 756.95 : x
  2. Step 2: Convert to fraction form
    1,243.64/1,866.24 = 756.95/x
  3. Step 3: Cross multiply
    1,243.64x = 1,866.24 × 756.95
  4. Step 4: Simplify right side
    1,243.64x = 1,412,650.37
  5. Step 5: Solve for x
    x = 1,412,650.37/1,243.64
  6. Step 6: Final answer
    x = 1,135.90

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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.