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Finding the Fourth Proportional to 1,120.28, 1,680.58 and 427.24

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Solution

The fourth proportional to 1,120.28, 1,680.58 and 427.24 is: 640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.28 : 1,680.58 = 427.24 : x
  2. Step 2: Convert to fraction form
    1,120.28/1,680.58 = 427.24/x
  3. Step 3: Cross multiply
    1,120.28x = 1,680.58 × 427.24
  4. Step 4: Simplify right side
    1,120.28x = 718,011.00
  5. Step 5: Solve for x
    x = 718,011.00/1,120.28
  6. Step 6: Final answer
    x = 640.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.