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Finding the Fourth Proportional to 883.05, 1,322.53 and 676.00

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Solution

The fourth proportional to 883.05, 1,322.53 and 676.00 is: 1,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.05 : 1,322.53 = 676.00 : x
  2. Step 2: Convert to fraction form
    883.05/1,322.53 = 676.00/x
  3. Step 3: Cross multiply
    883.05x = 1,322.53 × 676.00
  4. Step 4: Simplify right side
    883.05x = 894,022.80
  5. Step 5: Solve for x
    x = 894,022.80/883.05
  6. Step 6: Final answer
    x = 1,012.42

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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.