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Finding the Fourth Proportional to 1,143.56, 1,709.94 and 995.96

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Solution

The fourth proportional to 1,143.56, 1,709.94 and 995.96 is: 1,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.56 : 1,709.94 = 995.96 : x
  2. Step 2: Convert to fraction form
    1,143.56/1,709.94 = 995.96/x
  3. Step 3: Cross multiply
    1,143.56x = 1,709.94 × 995.96
  4. Step 4: Simplify right side
    1,143.56x = 1,703,031.84
  5. Step 5: Solve for x
    x = 1,703,031.84/1,143.56
  6. Step 6: Final answer
    x = 1,489.24

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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.