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Finding the Fourth Proportional to 1,518.50, 2,276.34 and 786.57

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Solution

The fourth proportional to 1,518.50, 2,276.34 and 786.57 is: 1,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.50 : 2,276.34 = 786.57 : x
  2. Step 2: Convert to fraction form
    1,518.50/2,276.34 = 786.57/x
  3. Step 3: Cross multiply
    1,518.50x = 2,276.34 × 786.57
  4. Step 4: Simplify right side
    1,518.50x = 1,790,500.75
  5. Step 5: Solve for x
    x = 1,790,500.75/1,518.50
  6. Step 6: Final answer
    x = 1,179.13

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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.