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Finding the Fourth Proportional to 1,205.33, 1,663.47 and 733.12

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Solution

The fourth proportional to 1,205.33, 1,663.47 and 733.12 is: 1,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.33 : 1,663.47 = 733.12 : x
  2. Step 2: Convert to fraction form
    1,205.33/1,663.47 = 733.12/x
  3. Step 3: Cross multiply
    1,205.33x = 1,663.47 × 733.12
  4. Step 4: Simplify right side
    1,205.33x = 1,219,523.13
  5. Step 5: Solve for x
    x = 1,219,523.13/1,205.33
  6. Step 6: Final answer
    x = 1,011.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.