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Finding the Fourth Proportional to 1,123.12, 1,682.39 and 567.48

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Solution

The fourth proportional to 1,123.12, 1,682.39 and 567.48 is: 850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.12 : 1,682.39 = 567.48 : x
  2. Step 2: Convert to fraction form
    1,123.12/1,682.39 = 567.48/x
  3. Step 3: Cross multiply
    1,123.12x = 1,682.39 × 567.48
  4. Step 4: Simplify right side
    1,123.12x = 954,722.68
  5. Step 5: Solve for x
    x = 954,722.68/1,123.12
  6. Step 6: Final answer
    x = 850.06

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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.