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Finding the Fourth Proportional to 1,338.23, 2,007.69 and 557.97

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Solution

The fourth proportional to 1,338.23, 2,007.69 and 557.97 is: 837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.23 : 2,007.69 = 557.97 : x
  2. Step 2: Convert to fraction form
    1,338.23/2,007.69 = 557.97/x
  3. Step 3: Cross multiply
    1,338.23x = 2,007.69 × 557.97
  4. Step 4: Simplify right side
    1,338.23x = 1,120,230.79
  5. Step 5: Solve for x
    x = 1,120,230.79/1,338.23
  6. Step 6: Final answer
    x = 837.10

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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.