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Finding the Fourth Proportional to 1,205.48, 1,809.48 and 767.24

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Solution

The fourth proportional to 1,205.48, 1,809.48 and 767.24 is: 1,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.48 : 1,809.48 = 767.24 : x
  2. Step 2: Convert to fraction form
    1,205.48/1,809.48 = 767.24/x
  3. Step 3: Cross multiply
    1,205.48x = 1,809.48 × 767.24
  4. Step 4: Simplify right side
    1,205.48x = 1,388,305.44
  5. Step 5: Solve for x
    x = 1,388,305.44/1,205.48
  6. Step 6: Final answer
    x = 1,151.66

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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.