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Finding the Fourth Proportional to 1,121.92, 1,682.47 and 472.70

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Solution

The fourth proportional to 1,121.92, 1,682.47 and 472.70 is: 708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.92 : 1,682.47 = 472.70 : x
  2. Step 2: Convert to fraction form
    1,121.92/1,682.47 = 472.70/x
  3. Step 3: Cross multiply
    1,121.92x = 1,682.47 × 472.70
  4. Step 4: Simplify right side
    1,121.92x = 795,308.37
  5. Step 5: Solve for x
    x = 795,308.37/1,121.92
  6. Step 6: Final answer
    x = 708.88

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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.