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Finding the Fourth Proportional to 1,167, 1,610.62 and 856.92

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Solution

The fourth proportional to 1,167, 1,610.62 and 856.92 is: 1,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167 : 1,610.62 = 856.92 : x
  2. Step 2: Convert to fraction form
    1,167/1,610.62 = 856.92/x
  3. Step 3: Cross multiply
    1,167x = 1,610.62 × 856.92
  4. Step 4: Simplify right side
    1,167x = 1,380,172.49
  5. Step 5: Solve for x
    x = 1,380,172.49/1,167
  6. Step 6: Final answer
    x = 1,182.67

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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.