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Finding the Fourth Proportional to 1,338.96, 2,007.69 and 461.03

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Solution

The fourth proportional to 1,338.96, 2,007.69 and 461.03 is: 691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.96 : 2,007.69 = 461.03 : x
  2. Step 2: Convert to fraction form
    1,338.96/2,007.69 = 461.03/x
  3. Step 3: Cross multiply
    1,338.96x = 2,007.69 × 461.03
  4. Step 4: Simplify right side
    1,338.96x = 925,595.28
  5. Step 5: Solve for x
    x = 925,595.28/1,338.96
  6. Step 6: Final answer
    x = 691.28

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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.