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Finding the Fourth Proportional to 676.20, 915.75 and 676.20

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Solution

The fourth proportional to 676.20, 915.75 and 676.20 is: 915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.20 : 915.75 = 676.20 : x
  2. Step 2: Convert to fraction form
    676.20/915.75 = 676.20/x
  3. Step 3: Cross multiply
    676.20x = 915.75 × 676.20
  4. Step 4: Simplify right side
    676.20x = 619,230.15
  5. Step 5: Solve for x
    x = 619,230.15/676.20
  6. Step 6: Final answer
    x = 915.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.