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Finding the Fourth Proportional to 1,449.49, 2,174.09 and 719.54

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Solution

The fourth proportional to 1,449.49, 2,174.09 and 719.54 is: 1,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.49 : 2,174.09 = 719.54 : x
  2. Step 2: Convert to fraction form
    1,449.49/2,174.09 = 719.54/x
  3. Step 3: Cross multiply
    1,449.49x = 2,174.09 × 719.54
  4. Step 4: Simplify right side
    1,449.49x = 1,564,341.12
  5. Step 5: Solve for x
    x = 1,564,341.12/1,449.49
  6. Step 6: Final answer
    x = 1,079.24

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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.