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Finding the Fourth Proportional to 1,296.12, 1,941.84 and 856.81

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Solution

The fourth proportional to 1,296.12, 1,941.84 and 856.81 is: 1,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.12 : 1,941.84 = 856.81 : x
  2. Step 2: Convert to fraction form
    1,296.12/1,941.84 = 856.81/x
  3. Step 3: Cross multiply
    1,296.12x = 1,941.84 × 856.81
  4. Step 4: Simplify right side
    1,296.12x = 1,663,787.93
  5. Step 5: Solve for x
    x = 1,663,787.93/1,296.12
  6. Step 6: Final answer
    x = 1,283.67

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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.