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Finding the Fourth Proportional to 1,307.32, 1,961.01 and 516.64

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Solution

The fourth proportional to 1,307.32, 1,961.01 and 516.64 is: 774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.32 : 1,961.01 = 516.64 : x
  2. Step 2: Convert to fraction form
    1,307.32/1,961.01 = 516.64/x
  3. Step 3: Cross multiply
    1,307.32x = 1,961.01 × 516.64
  4. Step 4: Simplify right side
    1,307.32x = 1,013,136.21
  5. Step 5: Solve for x
    x = 1,013,136.21/1,307.32
  6. Step 6: Final answer
    x = 774.97

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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.