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Finding the Fourth Proportional to 886.14, 1,224.54 and 676.08

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Solution

The fourth proportional to 886.14, 1,224.54 and 676.08 is: 934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.14 : 1,224.54 = 676.08 : x
  2. Step 2: Convert to fraction form
    886.14/1,224.54 = 676.08/x
  3. Step 3: Cross multiply
    886.14x = 1,224.54 × 676.08
  4. Step 4: Simplify right side
    886.14x = 827,887.00
  5. Step 5: Solve for x
    x = 827,887.00/886.14
  6. Step 6: Final answer
    x = 934.26

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