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Finding the Fourth Proportional to 1,112.94, 1,666.98 and 678.78

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Solution

The fourth proportional to 1,112.94, 1,666.98 and 678.78 is: 1,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.94 : 1,666.98 = 678.78 : x
  2. Step 2: Convert to fraction form
    1,112.94/1,666.98 = 678.78/x
  3. Step 3: Cross multiply
    1,112.94x = 1,666.98 × 678.78
  4. Step 4: Simplify right side
    1,112.94x = 1,131,512.68
  5. Step 5: Solve for x
    x = 1,131,512.68/1,112.94
  6. Step 6: Final answer
    x = 1,016.69

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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.