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Finding the Fourth Proportional to 1,112.46, 1,666.46 and 518.64

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Solution

The fourth proportional to 1,112.46, 1,666.46 and 518.64 is: 776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.46 : 1,666.46 = 518.64 : x
  2. Step 2: Convert to fraction form
    1,112.46/1,666.46 = 518.64/x
  3. Step 3: Cross multiply
    1,112.46x = 1,666.46 × 518.64
  4. Step 4: Simplify right side
    1,112.46x = 864,295.68
  5. Step 5: Solve for x
    x = 864,295.68/1,112.46
  6. Step 6: Final answer
    x = 776.92

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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.