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Finding the Fourth Proportional to 1,120.56, 1,679.40 and 470.96

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Solution

The fourth proportional to 1,120.56, 1,679.40 and 470.96 is: 705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.56 : 1,679.40 = 470.96 : x
  2. Step 2: Convert to fraction form
    1,120.56/1,679.40 = 470.96/x
  3. Step 3: Cross multiply
    1,120.56x = 1,679.40 × 470.96
  4. Step 4: Simplify right side
    1,120.56x = 790,930.22
  5. Step 5: Solve for x
    x = 790,930.22/1,120.56
  6. Step 6: Final answer
    x = 705.83

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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.