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Finding the Fourth Proportional to 1,120.59, 1,546.56 and 678.49

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Solution

The fourth proportional to 1,120.59, 1,546.56 and 678.49 is: 936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.59 : 1,546.56 = 678.49 : x
  2. Step 2: Convert to fraction form
    1,120.59/1,546.56 = 678.49/x
  3. Step 3: Cross multiply
    1,120.59x = 1,546.56 × 678.49
  4. Step 4: Simplify right side
    1,120.59x = 1,049,321.63
  5. Step 5: Solve for x
    x = 1,049,321.63/1,120.59
  6. Step 6: Final answer
    x = 936.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.