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Finding the Fourth Proportional to 1,338.41, 2,007.96 and 460.94

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Solution

The fourth proportional to 1,338.41, 2,007.96 and 460.94 is: 691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.41 : 2,007.96 = 460.94 : x
  2. Step 2: Convert to fraction form
    1,338.41/2,007.96 = 460.94/x
  3. Step 3: Cross multiply
    1,338.41x = 2,007.96 × 460.94
  4. Step 4: Simplify right side
    1,338.41x = 925,537.31
  5. Step 5: Solve for x
    x = 925,537.31/1,338.41
  6. Step 6: Final answer
    x = 691.52

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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.