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Finding the Fourth Proportional to 1,119.48, 1,544.31 and 726.63

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Solution

The fourth proportional to 1,119.48, 1,544.31 and 726.63 is: 1,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.48 : 1,544.31 = 726.63 : x
  2. Step 2: Convert to fraction form
    1,119.48/1,544.31 = 726.63/x
  3. Step 3: Cross multiply
    1,119.48x = 1,544.31 × 726.63
  4. Step 4: Simplify right side
    1,119.48x = 1,122,141.98
  5. Step 5: Solve for x
    x = 1,122,141.98/1,119.48
  6. Step 6: Final answer
    x = 1,002.38

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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.