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Finding the Fourth Proportional to 1,121.96, 1,682.94 and 471.80

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Solution

The fourth proportional to 1,121.96, 1,682.94 and 471.80 is: 707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.96 : 1,682.94 = 471.80 : x
  2. Step 2: Convert to fraction form
    1,121.96/1,682.94 = 471.80/x
  3. Step 3: Cross multiply
    1,121.96x = 1,682.94 × 471.80
  4. Step 4: Simplify right side
    1,121.96x = 794,011.09
  5. Step 5: Solve for x
    x = 794,011.09/1,121.96
  6. Step 6: Final answer
    x = 707.70

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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.