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Finding the Fourth Proportional to 1,296.08, 1,941.92 and 782

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Solution

The fourth proportional to 1,296.08, 1,941.92 and 782 is: 1,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.08 : 1,941.92 = 782 : x
  2. Step 2: Convert to fraction form
    1,296.08/1,941.92 = 782/x
  3. Step 3: Cross multiply
    1,296.08x = 1,941.92 × 782
  4. Step 4: Simplify right side
    1,296.08x = 1,518,581.44
  5. Step 5: Solve for x
    x = 1,518,581.44/1,296.08
  6. Step 6: Final answer
    x = 1,171.67

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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.