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Finding the Fourth Proportional to 883.72, 1,219.03 and 733.49

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Solution

The fourth proportional to 883.72, 1,219.03 and 733.49 is: 1,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.72 : 1,219.03 = 733.49 : x
  2. Step 2: Convert to fraction form
    883.72/1,219.03 = 733.49/x
  3. Step 3: Cross multiply
    883.72x = 1,219.03 × 733.49
  4. Step 4: Simplify right side
    883.72x = 894,146.31
  5. Step 5: Solve for x
    x = 894,146.31/883.72
  6. Step 6: Final answer
    x = 1,011.80

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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.