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Finding the Fourth Proportional to 1,149.54, 1,724.13 and 419.11

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Solution

The fourth proportional to 1,149.54, 1,724.13 and 419.11 is: 628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.54 : 1,724.13 = 419.11 : x
  2. Step 2: Convert to fraction form
    1,149.54/1,724.13 = 419.11/x
  3. Step 3: Cross multiply
    1,149.54x = 1,724.13 × 419.11
  4. Step 4: Simplify right side
    1,149.54x = 722,605.51
  5. Step 5: Solve for x
    x = 722,605.51/1,149.54
  6. Step 6: Final answer
    x = 628.61

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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.