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Finding the Fourth Proportional to 1,238.85, 1,856.27 and 653.82

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Solution

The fourth proportional to 1,238.85, 1,856.27 and 653.82 is: 979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.85 : 1,856.27 = 653.82 : x
  2. Step 2: Convert to fraction form
    1,238.85/1,856.27 = 653.82/x
  3. Step 3: Cross multiply
    1,238.85x = 1,856.27 × 653.82
  4. Step 4: Simplify right side
    1,238.85x = 1,213,663.18
  5. Step 5: Solve for x
    x = 1,213,663.18/1,238.85
  6. Step 6: Final answer
    x = 979.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.