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Finding the Fourth Proportional to 676.12, 932.58 and 519.16

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Solution

The fourth proportional to 676.12, 932.58 and 519.16 is: 716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.12 : 932.58 = 519.16 : x
  2. Step 2: Convert to fraction form
    676.12/932.58 = 519.16/x
  3. Step 3: Cross multiply
    676.12x = 932.58 × 519.16
  4. Step 4: Simplify right side
    676.12x = 484,158.23
  5. Step 5: Solve for x
    x = 484,158.23/676.12
  6. Step 6: Final answer
    x = 716.08

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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.