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Finding the Fourth Proportional to 670.88, 927.45 and 505.44

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Solution

The fourth proportional to 670.88, 927.45 and 505.44 is: 698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.88 : 927.45 = 505.44 : x
  2. Step 2: Convert to fraction form
    670.88/927.45 = 505.44/x
  3. Step 3: Cross multiply
    670.88x = 927.45 × 505.44
  4. Step 4: Simplify right side
    670.88x = 468,770.33
  5. Step 5: Solve for x
    x = 468,770.33/670.88
  6. Step 6: Final answer
    x = 698.74

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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.