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Finding the Fourth Proportional to 677.54, 934.66 and 500.82

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Solution

The fourth proportional to 677.54, 934.66 and 500.82 is: 690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.54 : 934.66 = 500.82 : x
  2. Step 2: Convert to fraction form
    677.54/934.66 = 500.82/x
  3. Step 3: Cross multiply
    677.54x = 934.66 × 500.82
  4. Step 4: Simplify right side
    677.54x = 468,096.42
  5. Step 5: Solve for x
    x = 468,096.42/677.54
  6. Step 6: Final answer
    x = 690.88

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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.