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Finding the Fourth Proportional to 1,121.94, 1,682.91 and 471.92

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Solution

The fourth proportional to 1,121.94, 1,682.91 and 471.92 is: 707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.94 : 1,682.91 = 471.92 : x
  2. Step 2: Convert to fraction form
    1,121.94/1,682.91 = 471.92/x
  3. Step 3: Cross multiply
    1,121.94x = 1,682.91 × 471.92
  4. Step 4: Simplify right side
    1,121.94x = 794,190.47
  5. Step 5: Solve for x
    x = 794,190.47/1,121.94
  6. Step 6: Final answer
    x = 707.87

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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.