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Finding the Fourth Proportional to 699.89, 964.72 and 475.76

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Solution

The fourth proportional to 699.89, 964.72 and 475.76 is: 655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.89 : 964.72 = 475.76 : x
  2. Step 2: Convert to fraction form
    699.89/964.72 = 475.76/x
  3. Step 3: Cross multiply
    699.89x = 964.72 × 475.76
  4. Step 4: Simplify right side
    699.89x = 458,969.17
  5. Step 5: Solve for x
    x = 458,969.17/699.89
  6. Step 6: Final answer
    x = 655.78

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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.