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Finding the Fourth Proportional to 1,166.73, 1,750.39 and 345

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Solution

The fourth proportional to 1,166.73, 1,750.39 and 345 is: 517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.73 : 1,750.39 = 345 : x
  2. Step 2: Convert to fraction form
    1,166.73/1,750.39 = 345/x
  3. Step 3: Cross multiply
    1,166.73x = 1,750.39 × 345
  4. Step 4: Simplify right side
    1,166.73x = 603,884.55
  5. Step 5: Solve for x
    x = 603,884.55/1,166.73
  6. Step 6: Final answer
    x = 517.59

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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.