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Finding the Fourth Proportional to 1,338.14, 2,007.12 and 364.34

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Solution

The fourth proportional to 1,338.14, 2,007.12 and 364.34 is: 546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.14 : 2,007.12 = 364.34 : x
  2. Step 2: Convert to fraction form
    1,338.14/2,007.12 = 364.34/x
  3. Step 3: Cross multiply
    1,338.14x = 2,007.12 × 364.34
  4. Step 4: Simplify right side
    1,338.14x = 731,274.10
  5. Step 5: Solve for x
    x = 731,274.10/1,338.14
  6. Step 6: Final answer
    x = 546.49

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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.