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Finding the Fourth Proportional to 1,121.42, 1,682.94 and 574.06

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Solution

The fourth proportional to 1,121.42, 1,682.94 and 574.06 is: 861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.42 : 1,682.94 = 574.06 : x
  2. Step 2: Convert to fraction form
    1,121.42/1,682.94 = 574.06/x
  3. Step 3: Cross multiply
    1,121.42x = 1,682.94 × 574.06
  4. Step 4: Simplify right side
    1,121.42x = 966,108.54
  5. Step 5: Solve for x
    x = 966,108.54/1,121.42
  6. Step 6: Final answer
    x = 861.50

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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.