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Finding the Fourth Proportional to 676.90, 934.56 and 552.86

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Solution

The fourth proportional to 676.90, 934.56 and 552.86 is: 763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.90 : 934.56 = 552.86 : x
  2. Step 2: Convert to fraction form
    676.90/934.56 = 552.86/x
  3. Step 3: Cross multiply
    676.90x = 934.56 × 552.86
  4. Step 4: Simplify right side
    676.90x = 516,676.43
  5. Step 5: Solve for x
    x = 516,676.43/676.90
  6. Step 6: Final answer
    x = 763.30

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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.