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Finding the Fourth Proportional to 1,307.81, 1,961.75 and 517.14

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Solution

The fourth proportional to 1,307.81, 1,961.75 and 517.14 is: 775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.81 : 1,961.75 = 517.14 : x
  2. Step 2: Convert to fraction form
    1,307.81/1,961.75 = 517.14/x
  3. Step 3: Cross multiply
    1,307.81x = 1,961.75 × 517.14
  4. Step 4: Simplify right side
    1,307.81x = 1,014,500.69
  5. Step 5: Solve for x
    x = 1,014,500.69/1,307.81
  6. Step 6: Final answer
    x = 775.72

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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.