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Finding the Fourth Proportional to 1,141.44, 1,712.34 and 411.08

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Solution

The fourth proportional to 1,141.44, 1,712.34 and 411.08 is: 616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.44 : 1,712.34 = 411.08 : x
  2. Step 2: Convert to fraction form
    1,141.44/1,712.34 = 411.08/x
  3. Step 3: Cross multiply
    1,141.44x = 1,712.34 × 411.08
  4. Step 4: Simplify right side
    1,141.44x = 703,908.73
  5. Step 5: Solve for x
    x = 703,908.73/1,141.44
  6. Step 6: Final answer
    x = 616.68

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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.