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Finding the Fourth Proportional to 1,216.75, 1,826.94 and 487.75

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Solution

The fourth proportional to 1,216.75, 1,826.94 and 487.75 is: 732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.75 : 1,826.94 = 487.75 : x
  2. Step 2: Convert to fraction form
    1,216.75/1,826.94 = 487.75/x
  3. Step 3: Cross multiply
    1,216.75x = 1,826.94 × 487.75
  4. Step 4: Simplify right side
    1,216.75x = 891,084.85
  5. Step 5: Solve for x
    x = 891,084.85/1,216.75
  6. Step 6: Final answer
    x = 732.35

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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.