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Finding the Fourth Proportional to 656.46, 986.01 and 513.06

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Solution

The fourth proportional to 656.46, 986.01 and 513.06 is: 770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.46 : 986.01 = 513.06 : x
  2. Step 2: Convert to fraction form
    656.46/986.01 = 513.06/x
  3. Step 3: Cross multiply
    656.46x = 986.01 × 513.06
  4. Step 4: Simplify right side
    656.46x = 505,882.29
  5. Step 5: Solve for x
    x = 505,882.29/656.46
  6. Step 6: Final answer
    x = 770.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.